Search a number
-
+
131757405105 = 3549727176641
BaseRepresentation
bin111101010110101011…
…0100111001110110001
3110121002101210200012210
41322231112213032301
54124314343430410
6140310054242333
712343033315254
oct1725526471661
9417071720183
10131757405105
1150972690647
12216513563a9
13c569cccc01
14653ca5509b
1536622a6220
hex1ead5a73b1

131757405105 has 16 divisors (see below), whose sum is σ = 210817281024. Its totient is φ = 70268805120.

The previous prime is 131757405089. The next prime is 131757405107. The reversal of 131757405105 is 501504757131.

It is not a de Polignac number, because 131757405105 - 24 = 131757405089 is a prime.

It is a super-2 number, since 2×1317574051052 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131757405107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 657585 + ... + 834225.

It is an arithmetic number, because the mean of its divisors is an integer number (13176080064).

Almost surely, 2131757405105 is an apocalyptic number.

131757405105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131757405105 is a deficient number, since it is larger than the sum of its proper divisors (79059875919).

131757405105 is a wasteful number, since it uses less digits than its factorization.

131757405105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226376.

The product of its (nonzero) digits is 73500, while the sum is 39.

The spelling of 131757405105 in words is "one hundred thirty-one billion, seven hundred fifty-seven million, four hundred five thousand, one hundred five".

Divisors: 1 3 5 15 49727 149181 176641 248635 529923 745905 883205 2649615 8783827007 26351481021 43919135035 131757405105