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131257382145 = 359379338839
BaseRepresentation
bin111101000111110001…
…1001011010100000001
3110112210112220212122220
41322033203023110001
54122303342212040
6140144313121253
712324452224341
oct1721743132401
9415715825586
10131257382145
1150736408a2a
12215319b9229
13c4ba53a536
1464d2494d21
1536334362d0
hex1e8f8cb501

131257382145 has 16 divisors (see below), whose sum is σ = 210235966080. Its totient is φ = 69929218944.

The previous prime is 131257382063. The next prime is 131257382147. The reversal of 131257382145 is 541283752131.

It is a happy number.

It is not a de Polignac number, because 131257382145 - 28 = 131257381889 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131257382097 and 131257382106.

It is not an unprimeable number, because it can be changed into a prime (131257382147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4655365 + ... + 4683474.

It is an arithmetic number, because the mean of its divisors is an integer number (13139747880).

Almost surely, 2131257382145 is an apocalyptic number.

131257382145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131257382145 is a deficient number, since it is larger than the sum of its proper divisors (78978583935).

131257382145 is an equidigital number, since it uses as much as digits as its factorization.

131257382145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9339784.

The product of its digits is 201600, while the sum is 42.

The spelling of 131257382145 in words is "one hundred thirty-one billion, two hundred fifty-seven million, three hundred eighty-two thousand, one hundred forty-five".

Divisors: 1 3 5 15 937 2811 4685 14055 9338839 28016517 46694195 140082585 8750492143 26251476429 43752460715 131257382145