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115310431401 = 31117536163577
BaseRepresentation
bin110101101100100001…
…0011000110010101001
3102000122011220211202120
41223121002120302221
53342123432301101
6124550050421453
711221333331514
oct1533102306251
9360564824676
10115310431401
11449a28068a0
121a421291889
13ab487695c9
14581c5b1d7b
152eed41db36
hex1ad9098ca9

115310431401 has 64 divisors (see below), whose sum is σ = 183910300416. Its totient is φ = 63474278400.

The previous prime is 115310431319. The next prime is 115310431421. The reversal of 115310431401 is 104134013511.

It is not a de Polignac number, because 115310431401 - 215 = 115310398633 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (115310431421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1781925 + ... + 1845501.

It is an arithmetic number, because the mean of its divisors is an integer number (2873598444).

Almost surely, 2115310431401 is an apocalyptic number.

115310431401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

115310431401 is a deficient number, since it is larger than the sum of its proper divisors (68599869015).

115310431401 is a wasteful number, since it uses less digits than its factorization.

115310431401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63722.

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 115310431401 its reverse (104134013511), we get a palindrome (219444444912).

The spelling of 115310431401 in words is "one hundred fifteen billion, three hundred ten million, four hundred thirty-one thousand, four hundred one".

Divisors: 1 3 11 17 33 51 53 61 159 183 187 561 583 671 901 1037 1749 2013 2703 3111 3233 9699 9911 11407 29733 34221 35563 54961 63577 106689 164883 190731 604571 699347 1080809 1813713 2098041 3242427 3369581 3878197 10108743 11634591 11888899 35666697 37065391 42660167 57282877 65929349 111196173 127980501 171848631 197788047 205544441 616633323 630111647 725222839 1890334941 2175668517 2260988851 3494255497 6782966553 10482766491 38436810467 115310431401