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431121011311320 = 233511326606826751
BaseRepresentation
bin110001000000110100010111…
…0101111000000001011011000
32002112110202200112111211221020
41202001220232233000023120
5423001441312343430240
64124530131453042440
7156544315363264521
oct14201505657001330
92075422615454836
10431121011311320
11115406437646940
124042a182486420
13156736c980a755
1478665227d7848
1534c96a82dc0d0
hex1881a2ebc02d8

431121011311320 has 64 divisors (see below), whose sum is σ = 1410941491568640. Its totient is φ = 104514184560000.

The previous prime is 431121011311313. The next prime is 431121011311349. The reversal of 431121011311320 is 23113110121134.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163303412056 + ... + 163303414695.

It is an arithmetic number, because the mean of its divisors is an integer number (22045960805760).

Almost surely, 2431121011311320 is an apocalyptic number.

431121011311320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

431121011311320 is an abundant number, since it is smaller than the sum of its proper divisors (979820480257320).

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

431121011311320 is a wasteful number, since it uses less digits than its factorization.

431121011311320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326606826776 (or 326606826772 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 431121011311320 its reverse (23113110121134), we get a palindrome (454234121432454).

The spelling of 431121011311320 in words is "four hundred thirty-one trillion, one hundred twenty-one billion, eleven million, three hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 326606826751 653213653502 979820480253 1306427307004 1633034133755 1959640960506 2612854614008 3266068267510 3592675094261 3919281921012 4899102401265 6532136535020 7185350188522 7838563842024 9798204802530 10778025282783 13064273070040 14370700377044 17963375471305 19596409605060 21556050565566 28741400754088 35926750942610 39192819210120 43112101131132 53890126413915 71853501885220 86224202262264 107780252827830 143707003770440 215560505655660 431121011311320