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12131031011 = 1131377313171
BaseRepresentation
bin10110100110001000…
…01101011111100011
31011022102200020002212
423103010031133203
5144321020443021
65323430032335
7606422030231
oct132304153743
934272606085
1012131031011
115165718170
1224267a86ab
1311b4351678
148311a9951
154b000485b
hex2d310d7e3

12131031011 has 32 divisors (see below), whose sum is σ = 14223230976. Its totient is φ = 10240992000.

The previous prime is 12131031001. The next prime is 12131031047. The reversal of 12131031011 is 11013013121.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12131031011 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12131031001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 914456 + ... + 927626.

It is an arithmetic number, because the mean of its divisors is an integer number (444475968).

Almost surely, 212131031011 is an apocalyptic number.

12131031011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12131031011 is a deficient number, since it is larger than the sum of its proper divisors (2092199965).

12131031011 is a wasteful number, since it uses less digits than its factorization.

12131031011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13323.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 12131031011 its reverse (11013013121), we get a palindrome (23144044132).

The spelling of 12131031011 in words is "twelve billion, one hundred thirty-one million, thirty-one thousand, eleven".

Divisors: 1 11 31 37 73 341 407 803 1147 2263 2701 12617 13171 24893 29711 83731 144881 408301 487327 921041 961483 4491311 5360597 10576313 15107137 29805973 35574871 166178507 327865703 391323581 1102821001 12131031011