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186942920131 = 1122238169031
BaseRepresentation
bin1010111000011010101…
…0101001010111000011
3122212112101002022011201
42232012222221113003
511030324341421011
6221514055322031
716335422413522
oct2560652512703
9585471068151
10186942920131
117231144a900
1230292980317
1314823183706
149095d384b9
154ce1ee9cc1
hex2b86aa95c3

186942920131 has 12 divisors (see below), whose sum is σ = 205494871792. Its totient is φ = 169938054000.

The previous prime is 186942920093. The next prime is 186942920183. The reversal of 186942920131 is 131029249681.

186942920131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 186942920131 - 29 = 186942919619 is a prime.

It is a super-2 number, since 2×1869429201312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (186942920191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2673586 + ... + 2742616.

Almost surely, 2186942920131 is an apocalyptic number.

186942920131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

186942920131 is a deficient number, since it is larger than the sum of its proper divisors (18551951661).

186942920131 is a wasteful number, since it uses less digits than its factorization.

186942920131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91434 (or 91423 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 46.

The spelling of 186942920131 in words is "one hundred eighty-six billion, nine hundred forty-two million, nine hundred twenty thousand, one hundred thirty-one".

Divisors: 1 11 121 22381 69031 246191 759341 2708101 8352751 1544982811 16994810921 186942920131