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105131030400054 = 23213769976092927
BaseRepresentation
bin10111111001110110111001…
…101110001100110000110110
3111210020102120021020122110200
4113321312321232030300312
5102234431322240300204
61011332310103301330
731100315640005511
oct2771667156146066
9453212507218420
10105131030400054
113055290199a65a
12b95b12144a846
134687a76703cb9
141bd6524845d78
15c24a7553d539
hex5f9db9b8cc36

105131030400054 has 48 divisors (see below), whose sum is σ = 229479385195008. Its totient is φ = 34782906001536.

The previous prime is 105131030400043. The next prime is 105131030400103. The reversal of 105131030400054 is 450004030131501.

It is a happy number.

105131030400054 is a `hidden beast` number, since 1 + 0 + 513 + 103 + 0 + 40 + 0 + 0 + 5 + 4 = 666.

It is a super-2 number, since 2×1051310304000542 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14208139 + ... + 20301065.

It is an arithmetic number, because the mean of its divisors is an integer number (4780820524896).

Almost surely, 2105131030400054 is an apocalyptic number.

105131030400054 is an abundant number, since it is smaller than the sum of its proper divisors (124348354794954).

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

105131030400054 is a wasteful number, since it uses less digits than its factorization.

105131030400054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6100069 (or 6100066 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 105131030400054 its reverse (450004030131501), we get a palindrome (555135060531555).

The spelling of 105131030400054 in words is "one hundred five trillion, one hundred thirty-one billion, thirty million, four hundred thousand, fifty-four".

Divisors: 1 2 3 6 9 18 137 274 411 822 1233 2466 6997 13994 20991 41982 62973 125946 958589 1917178 2875767 5751534 6092927 8627301 12185854 17254602 18278781 36557562 54836343 109672686 834730999 1669461998 2504192997 5008385994 7512578991 15025157982 42632210219 85264420438 127896630657 255793261314 383689891971 767379783942 5840612800003 11681225600006 17521838400009 35043676800018 52565515200027 105131030400054