Search a number
-
+
131132313129 = 31929358122153
BaseRepresentation
bin111101000100000011…
…0000100111000101001
3110112110211120201020010
41322020012010320221
54122024333010004
6140124044322133
712321403161546
oct1721006047051
9415424521203
10131132313129
1150681854804
12214b7b43349
13c49a65a2bc
1464bda19bcd
15362747da89
hex1e88184e29

131132313129 has 32 divisors (see below), whose sum is σ = 190453507200. Its totient is φ = 79938593280.

The previous prime is 131132313119. The next prime is 131132313133. The reversal of 131132313129 is 921313231131.

It is a happy number.

It is not a de Polignac number, because 131132313129 - 29 = 131132312617 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131132313096 and 131132313105.

It is not an unprimeable number, because it can be changed into a prime (131132313119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5908317 + ... + 5930469.

It is an arithmetic number, because the mean of its divisors is an integer number (5951672100).

Almost surely, 2131132313129 is an apocalyptic number.

131132313129 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

131132313129 is a deficient number, since it is larger than the sum of its proper divisors (59321194071).

131132313129 is a wasteful number, since it uses less digits than its factorization.

131132313129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25785.

The product of its digits is 2916, while the sum is 30.

The spelling of 131132313129 in words is "one hundred thirty-one billion, one hundred thirty-two million, three hundred thirteen thousand, one hundred twenty-nine".

Divisors: 1 3 19 29 57 87 551 1653 3581 10743 22153 66459 68039 103849 204117 311547 420907 642437 1262721 1927311 1973131 5919393 12206303 36618909 79329893 237989679 1507267967 2300566897 4521803901 6901700691 43710771043 131132313129