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131919939 = 32173193439
BaseRepresentation
bin1111101110011…
…11000001000011
3100012020020010200
413313033001003
5232232414224
621031300243
73161205144
oct767170103
9305206120
10131919939
1168513448
123821a683
132143b648
141373dacb
15b8ac5c9
hex7dcf043

131919939 has 24 divisors (see below), whose sum is σ = 193084320. Its totient is φ = 86787072.

The previous prime is 131919937. The next prime is 131919959. The reversal of 131919939 is 939919131.

It is not a de Polignac number, because 131919939 - 21 = 131919937 is a prime.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 131919894 and 131919903.

It is not an unprimeable number, because it can be changed into a prime (131919937) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 300282 + ... + 300720.

It is an arithmetic number, because the mean of its divisors is an integer number (8045180).

Almost surely, 2131919939 is an apocalyptic number.

131919939 is a deficient number, since it is larger than the sum of its proper divisors (61164381).

131919939 is a wasteful number, since it uses less digits than its factorization.

131919939 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 808 counting only the distinct ones).

The product of its digits is 59049, while the sum is 45.

The square root of 131919939 is about 11485.6405567996. The cubic root of 131919939 is about 509.0613762330.

The spelling of 131919939 in words is "one hundred thirty-one million, nine hundred nineteen thousand, nine hundred thirty-nine".

Divisors: 1 3 9 173 193 439 519 579 1317 1557 1737 3951 33389 75947 84727 100167 227841 254181 300501 683523 762543 14657771 43973313 131919939