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31131132054 = 23111759677019
BaseRepresentation
bin11100111111100011…
…110110000010010110
32222100120201100211220
4130333203312002112
51002224032211204
622145040111210
72151313153641
oct347743660226
988316640756
1031131132054
1112225792310
126049905506
132c218260c9
14171476ca58
15c230ae1d9
hex73f8f6096

31131132054 has 128 divisors (see below), whose sum is σ = 74239027200. Its totient is φ = 8596769280.

The previous prime is 31131131963. The next prime is 31131132061. The reversal of 31131132054 is 45023113113.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4431757 + ... + 4438775.

It is an arithmetic number, because the mean of its divisors is an integer number (579992400).

Almost surely, 231131132054 is an apocalyptic number.

31131132054 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31131132054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37119513600).

31131132054 is an abundant number, since it is smaller than the sum of its proper divisors (43107895146).

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

31131132054 is a wasteful number, since it uses less digits than its factorization.

31131132054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7178.

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 31131132054 its reverse (45023113113), we get a palindrome (76154245167).

The spelling of 31131132054 in words is "thirty-one billion, one hundred thirty-one million, one hundred thirty-two thousand, fifty-four".

Divisors: 1 2 3 6 11 17 22 33 34 51 59 66 67 102 118 134 177 187 201 354 374 402 561 649 737 1003 1122 1139 1298 1474 1947 2006 2211 2278 3009 3417 3894 3953 4422 6018 6834 7019 7906 11033 11859 12529 14038 21057 22066 23718 25058 33099 37587 42114 43483 66198 67201 75174 77209 86966 119323 130449 134402 154418 201603 231627 238646 260898 357969 403206 414121 463254 470273 715938 739211 828242 940546 1242363 1312553 1410819 1478422 2217633 2484726 2625106 2821638 3937659 4435266 4555331 5173003 7040057 7875318 7994641 9110662 10346006 13665993 14080114 15519009 15989282 21120171 23983923 27331986 27746107 31038018 42240342 47967846 55492214 77440627 83238321 87941051 154881254 166476642 175882102 232321881 263823153 305207177 464643762 471683819 527646306 610414354 915621531 943367638 1415051457 1831243062 2830102914 5188522009 10377044018 15565566027 31131132054