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131020320101 = 11172257160367
BaseRepresentation
bin111101000000101101…
…0110110110101100101
3110112012000211212200012
41322001122312311211
54121312200220401
6140105004100005
712315543226346
oct1720132666545
9415160755605
10131020320101
1150624611790
1221486534605
13c4803a7a38
1464acbc60cd
15361c70a8bb
hex1e816b6d65

131020320101 has 24 divisors (see below), whose sum is σ = 152425293696. Its totient is φ = 111666053120.

The previous prime is 131020320097. The next prime is 131020320191. The reversal of 131020320101 is 101023020131.

It is not a de Polignac number, because 131020320101 - 22 = 131020320097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131020320191) 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, 736820 + ... + 897186.

It is an arithmetic number, because the mean of its divisors is an integer number (6351053904).

Almost surely, 2131020320101 is an apocalyptic number.

131020320101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131020320101 is a deficient number, since it is larger than the sum of its proper divisors (21404973595).

131020320101 is a wasteful number, since it uses less digits than its factorization.

131020320101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160669 (or 160652 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 131020320101 its reverse (101023020131), we get a palindrome (232043340232).

The spelling of 131020320101 in words is "one hundred thirty-one billion, twenty million, three hundred twenty thousand, one hundred one".

Divisors: 1 11 17 187 257 289 2827 3179 4369 48059 74273 160367 817003 1764037 2726239 29988629 41214319 46346063 453357509 509806693 700643423 7707077653 11910938191 131020320101