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131009199 = 3192519157
BaseRepresentation
bin1111100111100…
…00101010101111
3100010111221211120
413303300222233
5232014243244
620555552023
73150363006
oct763605257
9303457746
10131009199
1167a51172
1237a5b613
13211acc49
1413583c3d
15b77c819
hex7cf0aaf

131009199 has 16 divisors (see below), whose sum is σ = 184625280. Its totient is φ = 82404000.

The previous prime is 131009167. The next prime is 131009251. The reversal of 131009199 is 991900131.

It is not a de Polignac number, because 131009199 - 25 = 131009167 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131009299) 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 15 ways as a sum of consecutive naturals, for example, 9729 + ... + 18885.

It is an arithmetic number, because the mean of its divisors is an integer number (11539080).

Almost surely, 2131009199 is an apocalyptic number.

131009199 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

131009199 is a deficient number, since it is larger than the sum of its proper divisors (53616081).

131009199 is a wasteful number, since it uses less digits than its factorization.

131009199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9430.

The product of its (nonzero) digits is 2187, while the sum is 33.

The square root of 131009199 is about 11445.9249953859. The cubic root of 131009199 is about 507.8871954357.

The spelling of 131009199 in words is "one hundred thirty-one million, nine thousand, one hundred ninety-nine".

Divisors: 1 3 19 57 251 753 4769 9157 14307 27471 173983 521949 2298407 6895221 43669733 131009199