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232121323310412 = 223294730194700833
BaseRepresentation
bin110100110001110011110101…
…000001010100110101001100
31010102212120201010101102010210
4310301303311001110311030
5220411033432231413122
62141403021441202420
766615132531442254
oct6461636501246514
91112776633342123
10232121323310412
1167a63111688a78
122204a801630410
139c69c40356963
144146a36834964
151bc801d09340c
hexd31cf5054d4c

232121323310412 has 96 divisors (see below), whose sum is σ = 572403633177600. Its totient is φ = 73091995748352.

The previous prime is 232121323310333. The next prime is 232121323310419. The reversal of 232121323310412 is 214013323121232.

It is a self number, because there is not a number n which added to its sum of digits gives 232121323310412.

It is not an unprimeable number, because it can be changed into a prime (232121323310419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47028348 + ... + 51729180.

It is an arithmetic number, because the mean of its divisors is an integer number (5962537845600).

Almost surely, 2232121323310412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232121323310412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286201816588800).

232121323310412 is an abundant number, since it is smaller than the sum of its proper divisors (340282309867188).

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

232121323310412 is a wasteful number, since it uses less digits than its factorization.

232121323310412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4703935 (or 4703933 counting only the distinct ones).

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

Adding to 232121323310412 its reverse (214013323121232), we get a palindrome (446134646431644).

The spelling of 232121323310412 in words is "two hundred thirty-two trillion, one hundred twenty-one billion, three hundred twenty-three million, three hundred ten thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 29 47 58 87 94 116 141 174 188 282 348 564 1363 2726 3019 4089 5452 6038 8178 9057 12076 16356 18114 36228 87551 141893 175102 262653 283786 350204 425679 525306 567572 851358 1050612 1702716 4114897 4700833 8229794 9401666 12344691 14102499 16459588 18803332 24689382 28204998 49378764 56409996 136324157 220939151 272648314 408972471 441878302 545296628 662817453 817944942 883756604 1325634906 1635889884 2651269812 6407235379 12814470758 14191814827 19221706137 25628941516 28383629654 38443412274 42575444481 56767259308 76886824548 85150888962 170301777924 411562629983 667015296869 823125259966 1234687889949 1334030593738 1646250519932 2001045890607 2469375779898 2668061187476 4002091781214 4938751559796 8004183562428 19343443609201 38686887218402 58030330827603 77373774436804 116060661655206 232121323310412