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131050100277 = 3231271465643
BaseRepresentation
bin111101000001100110…
…0011101011000110101
3110112021002212212101200
41322003030131120311
54121342311202102
6140111550243113
712316354321125
oct1720314353065
9415232785350
10131050100277
115063a401aa8
12214944b6499
13c486603945
1464b2b38c85
15362013e51c
hex1e8331d635

131050100277 has 12 divisors (see below), whose sum is σ = 189301049184. Its totient is φ = 87363752040.

The previous prime is 131050100267. The next prime is 131050100287. The reversal of 131050100277 is 772001050131.

It is a happy number.

131050100277 is a `hidden beast` number, since 131 + 0 + 501 + 0 + 0 + 27 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (131050100267) and next prime (131050100287).

It is not a de Polignac number, because 131050100277 - 210 = 131050099253 is a prime.

It is a super-2 number, since 2×1310501002772 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131050100277.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131050100227) 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, 48618 + ... + 514260.

It is an arithmetic number, because the mean of its divisors is an integer number (15775087432).

Almost surely, 2131050100277 is an apocalyptic number.

It is an amenable number.

131050100277 is a deficient number, since it is larger than the sum of its proper divisors (58250948907).

131050100277 is a wasteful number, since it uses less digits than its factorization.

131050100277 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496920 (or 496917 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The spelling of 131050100277 in words is "one hundred thirty-one billion, fifty million, one hundred thousand, two hundred seventy-seven".

Divisors: 1 3 9 31271 93813 281439 465643 1396929 4190787 14561122253 43683366759 131050100277