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131002123133 = 725235111879
BaseRepresentation
bin111101000000001010…
…1011100001101111101
3110112010202121101010102
41322000111130031331
54121243020420013
6140103114050445
712315232450100
oct1720025341575
9415122541112
10131002123133
1150615313072
1221480419a25
13c4796a61bb
1464aa60a737
15361ad13d58
hex1e8055c37d

131002123133 has 12 divisors (see below), whose sum is σ = 152681631840. Its totient is φ = 112072813272.

The previous prime is 131002123099. The next prime is 131002123163. The reversal of 131002123133 is 331321200131.

It is not a de Polignac number, because 131002123133 - 218 = 131001860989 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131002123163) 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, 2530313 + ... + 2581566.

It is an arithmetic number, because the mean of its divisors is an integer number (12723469320).

Almost surely, 2131002123133 is an apocalyptic number.

It is an amenable number.

131002123133 is a deficient number, since it is larger than the sum of its proper divisors (21679508707).

131002123133 is an equidigital number, since it uses as much as digits as its factorization.

131002123133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5112416 (or 5112409 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 131002123133 its reverse (331321200131), we get a palindrome (462323323264).

The spelling of 131002123133 in words is "one hundred thirty-one billion, two million, one hundred twenty-three thousand, one hundred thirty-three".

Divisors: 1 7 49 523 3661 25627 5111879 35783153 250482071 2673512717 18714589019 131002123133