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131830587669 = 31121073394109
BaseRepresentation
bin111101011000110110…
…1110010000100010101
3110121021111111201211010
41322301231302010111
54124442112301134
6140321231002433
712344612335434
oct1726155620425
9417244451733
10131830587669
11509aaa25800
1221671969419
13c57c2141c1
14654866511b
15366890ece9
hex1eb1b72115

131830587669 has 24 divisors (see below), whose sum is σ = 195011984160. Its totient is φ = 79150598560.

The previous prime is 131830587661. The next prime is 131830587671. The reversal of 131830587669 is 966785038131.

It is not a de Polignac number, because 131830587669 - 23 = 131830587661 is a prime.

It is a super-2 number, since 2×1318305876692 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131830587661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1658214 + ... + 1735895.

It is an arithmetic number, because the mean of its divisors is an integer number (8125499340).

Almost surely, 2131830587669 is an apocalyptic number.

It is an amenable number.

131830587669 is a deficient number, since it is larger than the sum of its proper divisors (63181396491).

131830587669 is a wasteful number, since it uses less digits than its factorization.

131830587669 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3394241 (or 3394230 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 57.

The spelling of 131830587669 in words is "one hundred thirty-one billion, eight hundred thirty million, five hundred eighty-seven thousand, six hundred sixty-nine".

Divisors: 1 3 11 33 107 121 321 363 1177 3531 12947 38841 3394109 10182327 37335199 112005597 363169663 410687189 1089508989 1232061567 3994866293 11984598879 43943529223 131830587669