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131191669 = 7317149151
BaseRepresentation
bin1111101000111…
…01001101110101
3100010212020010201
413310131031311
5232041113134
621003520501
73152053000
oct764351565
9303766121
10131191669
1168066274
1237b29131
132124500b
14135d0537
15b7b6914
hex7d1d375

131191669 has 32 divisors (see below), whose sum is σ = 164160000. Its totient is φ = 104428800.

The previous prime is 131191631. The next prime is 131191681. The reversal of 131191669 is 966191131.

It is not a de Polignac number, because 131191669 - 217 = 131060597 is a prime.

It is a super-2 number, since 2×1311916692 = 34422508030011122, which contains 22 as substring.

It is a Duffinian number.

Its product of digits (8748) is a multiple of the sum of its prime divisors (324).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131191369) 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 31 ways as a sum of consecutive naturals, for example, 868744 + ... + 868894.

It is an arithmetic number, because the mean of its divisors is an integer number (5130000).

Almost surely, 2131191669 is an apocalyptic number.

It is an amenable number.

131191669 is a deficient number, since it is larger than the sum of its proper divisors (32968331).

131191669 is a wasteful number, since it uses less digits than its factorization.

131191669 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 324 counting only the distinct ones).

The product of its digits is 8748, while the sum is 37.

The square root of 131191669 is about 11453.8931809232. The cubic root of 131191669 is about 508.1228816442.

The spelling of 131191669 in words is "one hundred thirty-one million, one hundred ninety-one thousand, six hundred sixty-nine".

Divisors: 1 7 17 49 119 149 151 343 833 1043 1057 2533 2567 5831 7301 7399 17731 17969 22499 51107 51793 124117 125783 157493 382483 868819 880481 1102451 2677381 7717157 18741667 131191669