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20095131 = 371098779
BaseRepresentation
bin100110010101…
…0000010011011
31101210221100010
41030222002123
520121021011
61554413003
7332543250
oct114520233
941727303
1020095131
1110385851
126891163
134217814
142951427
151b6e1a6
hex132a09b

20095131 has 16 divisors (see below), whose sum is σ = 30905600. Its totient is φ = 11376288.

The previous prime is 20095121. The next prime is 20095133. The reversal of 20095131 is 13159002.

It is not a de Polignac number, because 20095131 - 26 = 20095067 is a prime.

It is a super-2 number, since 2×200951312 = 807628579814322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20095098 and 20095107.

It is not an unprimeable number, because it can be changed into a prime (20095133) 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 15 ways as a sum of consecutive naturals, for example, 2101 + ... + 6678.

It is an arithmetic number, because the mean of its divisors is an integer number (1931600).

Almost surely, 220095131 is an apocalyptic number.

20095131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20095131 is a deficient number, since it is larger than the sum of its proper divisors (10810469).

20095131 is a wasteful number, since it uses less digits than its factorization.

20095131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8898.

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 20095131 is about 4482.7593064986. The cubic root of 20095131 is about 271.8714565267.

It can be divided in two parts, 2009 and 5131, that added together give a triangular number (7140 = T119).

The spelling of 20095131 in words is "twenty million, ninety-five thousand, one hundred thirty-one".

Divisors: 1 3 7 21 109 327 763 2289 8779 26337 61453 184359 956911 2870733 6698377 20095131