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23310111132 = 223271116934967
BaseRepresentation
bin10101101101011001…
…000001000110011100
32020011112002100002100
4111231121001012130
5340214342024012
614413012325100
71453434450450
oct255531010634
966145070070
1023310111132
119981a4a560
124626613790
1322763ba289
1411b1b74660
159166698dc
hex56d64119c

23310111132 has 144 divisors (see below), whose sum is σ = 73520358912. Its totient is φ = 6049779840.

The previous prime is 23310111127. The next prime is 23310111157. The reversal of 23310111132 is 23111101332.

It is a super-2 number, since 2×233101111322 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4690513 + ... + 4695479.

It is an arithmetic number, because the mean of its divisors is an integer number (510558048).

Almost surely, 223310111132 is an apocalyptic number.

23310111132 is a gapful number since it is divisible by the number (22) 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 23310111132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36760179456).

23310111132 is an abundant number, since it is smaller than the sum of its proper divisors (50210247780).

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

23310111132 is a wasteful number, since it uses less digits than its factorization.

23310111132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6688 (or 6683 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 23310111132 its reverse (23111101332), we get a palindrome (46421212464).

The spelling of 23310111132 in words is "twenty-three billion, three hundred ten million, one hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 1693 2772 3386 4967 5079 6772 9934 10158 11851 14901 15237 18623 19868 20316 23702 29802 30474 34769 35553 37246 44703 47404 54637 55869 59604 60948 69538 71106 74492 89406 104307 106659 109274 111738 130361 139076 142212 163911 167607 178812 208614 213318 218548 223476 260722 312921 327822 335214 382459 391083 417228 426636 491733 521444 625842 655644 670428 764918 782166 983466 1147377 1173249 1251684 1529836 1564332 1966932 2294754 2346498 3442131 4589508 4692996 6884262 8409131 13768524 16818262 25227393 33636524 50454786 58863917 75682179 92500441 100909572 117727834 151364358 176591751 185000882 235455668 277501323 302728716 353183502 370001764 529775253 555002646 647503087 706367004 832503969 1059550506 1110005292 1295006174 1665007938 1942509261 2119101012 2590012348 3330015876 3885018522 5827527783 7770037044 11655055566 23310111132