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113222211233232 = 243411512711405919
BaseRepresentation
bin11001101111100110011001…
…101011100110010111010000
3112211212221022120110022001110
4121233212121223212113100
5104320013042033430412
61040445322113133320
732564014641220653
oct3157463153462720
9484787276408043
10113222211233232
11330922a75a9372
121084728155a240
134b23a6896078a
141dd5dacb6389a
15d15282331d3c
hex66f999ae65d0

113222211233232 has 160 divisors (see below), whose sum is σ = 302722064547840. Its totient is φ = 36441394560000.

The previous prime is 113222211233141. The next prime is 113222211233239. The reversal of 113222211233232 is 232332112222311.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 113222211233232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113222211233239) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79829569 + ... + 81235487.

It is an arithmetic number, because the mean of its divisors is an integer number (1892012903424).

Almost surely, 2113222211233232 is an apocalyptic number.

113222211233232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113222211233232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151361032273920).

113222211233232 is an abundant number, since it is smaller than the sum of its proper divisors (189499853314608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113222211233232 is a wasteful number, since it uses less digits than its factorization.

113222211233232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406393 (or 1406387 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

Adding to 113222211233232 its reverse (232332112222311), we get a palindrome (345554323455543).

The spelling of 113222211233232 in words is "one hundred thirteen trillion, two hundred twenty-two billion, two hundred eleven million, two hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 151 164 246 271 302 328 453 492 542 604 656 813 906 984 1084 1208 1626 1812 1968 2168 2416 3252 3624 4336 6191 6504 7248 11111 12382 13008 18573 22222 24764 33333 37146 40921 44444 49528 66666 74292 81842 88888 99056 122763 133332 148584 163684 177776 245526 266664 297168 327368 491052 533328 654736 982104 1405919 1677761 1964208 2811838 3355522 4217757 5033283 5623676 6711044 8435514 10066566 11247352 13422088 16871028 20133132 22494704 26844176 33742056 40266264 57642679 67484112 80532528 115285358 172928037 212293769 230570716 345856074 381004049 424587538 461141432 636881307 691712148 762008098 849175076 922282864 1143012147 1273762614 1383424296 1524016196 1698350152 2286024294 2547525228 2766848592 3048032392 3396700304 4572048588 5095050456 6096064784 8704044529 9144097176 10190100912 15621166009 17408089058 18288194352 26112133587 31242332018 34816178116 46863498027 52224267174 57531611399 62484664036 69632356232 93726996054 104448534348 115063222798 124969328072 139264712464 172594834197 187453992108 208897068696 230126445596 249938656144 345189668394 374907984216 417794137392 460252891192 690379336788 749815968432 920505782384 1380758673576 2358796067359 2761517347152 4717592134718 7076388202077 9435184269436 14152776404154 18870368538872 28305552808308 37740737077744 56611105616616 113222211233232