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131041028304 = 2432910007141
BaseRepresentation
bin111101000001010100…
…1110110100011010000
3110112020110210221222200
41322002221312203100
54121333000401204
6140111024003200
712316214235204
oct1720251664320
9415213727880
10131041028304
11506352760aa
1221491460500
13c484778604
1464b1856b04
15361e44b539
hex1e82a768d0

131041028304 has 30 divisors (see below), whose sum is σ = 366732878226. Its totient is φ = 43680342720.

The previous prime is 131041028303. The next prime is 131041028309. The reversal of 131041028304 is 403820140131.

131041028304 is a `hidden beast` number, since 1 + 310 + 41 + 0 + 2 + 8 + 304 = 666.

It can be written as a sum of positive squares in only one way, i.e., 66230051904 + 64810976400 = 257352^2 + 254580^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131041028303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 455003427 + ... + 455003714.

Almost surely, 2131041028304 is an apocalyptic number.

It is an amenable number.

131041028304 is an abundant number, since it is smaller than the sum of its proper divisors (235691849922).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131041028304 is a wasteful number, since it uses less digits than its factorization.

131041028304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910007155 (or 910007146 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 131041028304 its reverse (403820140131), we get a palindrome (534861168435).

The spelling of 131041028304 in words is "one hundred thirty-one billion, forty-one million, twenty-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 910007141 1820014282 2730021423 3640028564 5460042846 7280057128 8190064269 10920085692 14560114256 16380128538 21840171384 32760257076 43680342768 65520514152 131041028304