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332031013100232 = 2331071732161134583
BaseRepresentation
bin100101101111110101111111…
…0100101110001101011001000
31121112121212002012002220221020
41023133223332211301223020
5322004444003323201412
63134100535222512440
7126636310013525235
oct11337537645615310
91545555065086836
10332031013100232
119688261a956606
12312a5a02595720
131133650c3163c4
145bdc55b47878c
15285bd4e15c18c
hex12dfafe971ac8

332031013100232 has 128 divisors (see below), whose sum is σ = 842741606108160. Its totient is φ = 109000671269120.

The previous prime is 332031013100177. The next prime is 332031013100273. The reversal of 332031013100232 is 232001310130233.

It is a super-2 number, since 2×3320310131002322 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9600972013 + ... + 9601006595.

It is an arithmetic number, because the mean of its divisors is an integer number (6583918797720).

Almost surely, 2332031013100232 is an apocalyptic number.

It is an amenable number.

332031013100232 is an abundant number, since it is smaller than the sum of its proper divisors (510710593007928).

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

332031013100232 is a wasteful number, since it uses less digits than its factorization.

332031013100232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56483 (or 56479 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 332031013100232 its reverse (232001310130233), we get a palindrome (564032323230465).

The spelling of 332031013100232 in words is "three hundred thirty-two trillion, thirty-one billion, thirteen million, one hundred thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 107 173 214 321 346 428 519 642 692 856 1038 1284 1384 2076 2568 4152 18511 21611 34583 37022 43222 55533 64833 69166 74044 86444 103749 111066 129666 138332 148088 172888 207498 222132 259332 276664 414996 444264 518664 829992 2312377 3700381 3738703 4624754 5982859 6937131 7400762 7477406 9249508 11101143 11216109 11965718 13874262 14801524 14954812 17948577 18499016 22202286 22432218 23931436 27748524 29603048 29909624 35897154 44404572 44864436 47862872 55497048 71794308 88809144 89728872 143588616 400041221 640165913 747373213 800082442 1200123663 1280331826 1494746426 1600164884 1920497739 2242119639 2400247326 2560663652 2989492852 3200329768 3840995478 4484239278 4800494652 5121327304 5978985704 7681990956 8968478556 9600989304 15363981912 17936957112 79968933791 129295565849 159937867582 239906801373 258591131698 319875735164 387886697547 479813602746 517182263396 639751470328 775773395094 959627205492 1034364526792 1551546790188 1919254410984 3103093580376 13834625545843 27669251091686 41503876637529 55338502183372 83007753275058 110677004366744 166015506550116 332031013100232