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131891217 = 31929731093
BaseRepresentation
bin1111101110010…
…00000000010001
3100012011202201220
413313020000101
5232231004332
621030515253
73161025333
oct767100021
9305152656
10131891217
11684a3907
1238205b29
132142b553
1413733453
15b8a3d2c
hex7dc8011

131891217 has 32 divisors (see below), whose sum is σ = 194294400. Its totient is φ = 79252992.

The previous prime is 131891209. The next prime is 131891231. The reversal of 131891217 is 712198131.

It is not a de Polignac number, because 131891217 - 23 = 131891209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131891257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120123 + ... + 121215.

It is an arithmetic number, because the mean of its divisors is an integer number (6071700).

Almost surely, 2131891217 is an apocalyptic number.

It is an amenable number.

131891217 is a deficient number, since it is larger than the sum of its proper divisors (62403183).

131891217 is a wasteful number, since it uses less digits than its factorization.

131891217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217.

The product of its digits is 3024, while the sum is 33.

The square root of 131891217 is about 11484.3901448880. The cubic root of 131891217 is about 509.0244287677.

The spelling of 131891217 in words is "one hundred thirty-one million, eight hundred ninety-one thousand, two hundred seventeen".

Divisors: 1 3 19 29 57 73 87 219 551 1093 1387 1653 2117 3279 4161 6351 20767 31697 40223 62301 79789 95091 120669 239367 602243 1515991 1806729 2313881 4547973 6941643 43963739 131891217