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232124312413004 = 2211177314717288853
BaseRepresentation
bin110100110001110110100111…
…001011110110001101001100
31010102212212102102220120001012
4310301312213023312031030
5220411111042434204004
62141404234220104352
766615266565420134
oct6461664713661514
91112785372816035
10232124312413004
1167a64405985aa0
122204b2b66950b8
139c6a2c86c400b
144146c3b801ac4
151bc81456d346e
hexd31da72f634c

232124312413004 has 96 divisors (see below), whose sum is σ = 475675403708736. Its totient is φ = 97937188577280.

The previous prime is 232124312413001. The next prime is 232124312413009. The reversal of 232124312413004 is 400314213421232.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (232124312413001) 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, 803462642 + ... + 803751494.

It is an arithmetic number, because the mean of its divisors is an integer number (4954952121966).

Almost surely, 2232124312413004 is an apocalyptic number.

It is an amenable number.

232124312413004 is an abundant number, since it is smaller than the sum of its proper divisors (243551091295732).

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

232124312413004 is a wasteful number, since it uses less digits than its factorization.

232124312413004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303675 (or 303673 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 232124312413004 its reverse (400314213421232), we get a palindrome (632438525834236).

The spelling of 232124312413004 in words is "two hundred thirty-two trillion, one hundred twenty-four billion, three hundred twelve million, four hundred thirteen thousand, four".

Divisors: 1 2 4 11 17 22 34 44 68 73 146 187 292 374 748 803 1241 1606 2482 3212 4964 13651 14717 27302 29434 54604 58868 161887 250189 288853 323774 500378 577706 647548 1000756 1074341 1155412 2148682 2752079 3177383 4297364 4910501 5504158 6354766 9821002 11008316 11817751 12709532 18263797 19642004 21086269 23635502 36527594 42172538 47271004 54015511 73055188 84345076 108031022 200901767 216062044 231948959 358466573 401803534 463897918 716933146 803607068 927795836 1433866292 3943132303 4251049601 7886264606 8502099202 15772529212 17004198404 46761545611 72267843217 93523091222 144535686434 187046182444 289071372868 310326620873 620653241746 794946275387 1241306483492 1589892550774 3179785101548 3413592829603 5275552554841 6827185659206 10551105109682 13654371318412 21102210219364 58031078103251 116062156206502 232124312413004