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12002300100131 = 112443223910977
BaseRepresentation
bin1010111010101000000011…
…0101010111111000100011
31120111102000221010022000012
42232222000311113320203
53033121202311201011
641305440333115135
72346065120361545
oct256520065277043
946442027108005
1012002300100131
113908168564100
12141a162028aab
13690a7309b493
142d6cb3275695
1515c319d11a8b
hexaea80d57e23

12002300100131 has 12 divisors (see below), whose sum is σ = 13222391072856. Its totient is φ = 10886551653120.

The previous prime is 12002300100107. The next prime is 12002300100181. The reversal of 12002300100131 is 13100100320021.

12002300100131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-12002300100131 is a prime.

It is a super-2 number, since 2×120023001001312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12002300100181) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111901886 + ... + 112009091.

It is an arithmetic number, because the mean of its divisors is an integer number (1101865922738).

Almost surely, 212002300100131 is an apocalyptic number.

12002300100131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12002300100131 is a deficient number, since it is larger than the sum of its proper divisors (1220090972725).

12002300100131 is a wasteful number, since it uses less digits than its factorization.

12002300100131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223911442 (or 223911431 counting only the distinct ones).

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

Adding to 12002300100131 its reverse (13100100320021), we get a palindrome (25102400420152).

The spelling of 12002300100131 in words is "twelve trillion, two billion, three hundred million, one hundred thousand, one hundred thirty-one".

Divisors: 1 11 121 443 4873 53603 223910977 2463020747 27093228217 99192562811 1091118190921 12002300100131