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12131313121 = 891792572963
BaseRepresentation
bin10110100110001010…
…10010010111100001
31011022110012120002101
423103011102113201
5144321104004441
65323440050401
7606424313554
oct132305222741
934273176071
1012131313121
1151658a0114
122426903a01
1311b441cbb5
1483124069b
154b005d231
hex2d31525e1

12131313121 has 16 divisors (see below), whose sum is σ = 12388334400. Its totient is φ = 11877572608.

The previous prime is 12131313113. The next prime is 12131313127.

12131313121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12131313121 - 23 = 12131313113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12131313127) 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, 4092786 + ... + 4095748.

It is an arithmetic number, because the mean of its divisors is an integer number (774270900).

Almost surely, 212131313121 is an apocalyptic number.

It is an amenable number.

12131313121 is a deficient number, since it is larger than the sum of its proper divisors (257021279).

12131313121 is a wasteful number, since it uses less digits than its factorization.

12131313121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3488.

The product of its digits is 108, while the sum is 19.

The spelling of 12131313121 in words is "twelve billion, one hundred thirty-one million, three hundred thirteen thousand, one hundred twenty-one".

Divisors: 1 89 179 257 2963 15931 22873 46003 263707 530377 761491 4094267 47203553 67772699 136306889 12131313121