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131434031135 = 5117972998381
BaseRepresentation
bin111101001101000010…
…1000010100000011111
3110120020212022120112002
41322122011002200133
54123134102444020
6140214023232515
712332025555101
oct1723205024037
9416225276462
10131434031135
11508170a1a30
1221580ba873b
13c51800a074
14650bb19571
153643bcb975
hex1e9a14281f

131434031135 has 16 divisors (see below), whose sum is σ = 172275036192. Its totient is φ = 95468419200.

The previous prime is 131434031041. The next prime is 131434031143. The reversal of 131434031135 is 531130434131.

It is a happy number.

It is not a de Polignac number, because 131434031135 - 232 = 127139063839 is a prime.

It is a super-2 number, since 2×1314340311352 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131434031098 and 131434031107.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1455356 + ... + 1543025.

It is an arithmetic number, because the mean of its divisors is an integer number (10767189762).

Almost surely, 2131434031135 is an apocalyptic number.

131434031135 is a deficient number, since it is larger than the sum of its proper divisors (40841005057).

131434031135 is a wasteful number, since it uses less digits than its factorization.

131434031135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2999194.

The product of its (nonzero) digits is 6480, while the sum is 29.

Adding to 131434031135 its reverse (531130434131), we get a palindrome (662564465266).

The spelling of 131434031135 in words is "one hundred thirty-one billion, four hundred thirty-four million, thirty-one thousand, one hundred thirty-five".

Divisors: 1 5 11 55 797 3985 8767 43835 2998381 14991905 32982191 164910955 2389709657 11948548285 26286806227 131434031135