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332013013032222 = 2322913129867162563
BaseRepresentation
bin100101101111101101100110…
…1101100111101110100011110
31121112120010121201210201121200
41023133123031230331310132
5322004200122314012342
63134044401134540330
7126635101654500654
oct11337331554756436
91545503551721550
10332013013032222
1196875a23328045
12312a241a3676a6
1311334901090ba2
145bdb730a30dd4
15285b648c8d94c
hex12df6cdb3dd1e

332013013032222 has 96 divisors (see below), whose sum is σ = 749877482090880. Its totient is φ = 106034874953280.

The previous prime is 332013013032161. The next prime is 332013013032229. The reversal of 332013013032222 is 222230310310233.

332013013032222 is a `hidden beast` number, since 3 + 3 + 2 + 0 + 1 + 301 + 30 + 322 + 2 + 2 = 666.

It is a super-2 number, since 2×3320130130322222 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332013013032229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2042283913 + ... + 2042446475.

It is an arithmetic number, because the mean of its divisors is an integer number (7811223771780).

Almost surely, 2332013013032222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332013013032222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374938741045440).

332013013032222 is an abundant number, since it is smaller than the sum of its proper divisors (417864469058658).

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

332013013032222 is a wasteful number, since it uses less digits than its factorization.

332013013032222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192598 (or 192595 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 332013013032222 its reverse (222230310310233), we get a palindrome (554243323342455).

The spelling of 332013013032222 in words is "three hundred thirty-two trillion, thirteen billion, thirteen million, thirty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 29 58 87 131 174 261 262 393 522 786 1179 2358 3799 7598 11397 22794 29867 34191 59734 68382 89601 162563 179202 268803 325126 487689 537606 866143 975378 1463067 1732286 2598429 2926134 3912577 4714327 5196858 7795287 7825154 9428654 11737731 14142981 15590574 21295753 23475462 28285962 35213193 42428943 42591506 63887259 70426386 84857886 113464733 127774518 191661777 226929466 340394199 383323554 617576837 680788398 1021182597 1235153674 1852730511 2042365194 3705461022 4855269121 5558191533 9710538242 11116383066 14565807363 29131614726 43697422089 87394844178 140802804509 281605609018 422408413527 636040254851 844816827054 1267225240581 1272080509702 1908120764553 2534450481162 3816241529106 5724362293659 11448724587318 18445167390679 36890334781358 55335502172037 110671004344074 166006506516111 332013013032222