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12132031041 = 341359319429
BaseRepresentation
bin10110100110010000…
…00001101001000001
31011022111120000220000
423103020001221001
5144321244443131
65323503310213
7606433363614
oct132310015101
934274500800
1012132031041
115166240539
122426bab369
1311b46118c0
1483138a17b
154b0150ce6
hex2d3201a41

12132031041 has 40 divisors (see below), whose sum is σ = 19551165480. Its totient is φ = 7452891648.

The previous prime is 12132031039. The next prime is 12132031081. The reversal of 12132031041 is 14013023121.

It can be written as a sum of positive squares in 4 ways, for example, as 125350416 + 12006680625 = 11196^2 + 109575^2 .

It is not a de Polignac number, because 12132031041 - 21 = 12132031039 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12132031001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 614715 + ... + 634143.

It is an arithmetic number, because the mean of its divisors is an integer number (488779137).

Almost surely, 212132031041 is an apocalyptic number.

It is an amenable number.

12132031041 is a deficient number, since it is larger than the sum of its proper divisors (7419134439).

12132031041 is a wasteful number, since it uses less digits than its factorization.

12132031041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20047 (or 20038 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12132031041 its reverse (14013023121), we get a palindrome (26145054162).

The spelling of 12132031041 in words is "twelve billion, one hundred thirty-two million, thirty-one thousand, forty-one".

Divisors: 1 3 9 13 27 39 81 117 351 593 1053 1779 5337 7709 16011 19429 23127 48033 58287 69381 174861 208143 252577 524583 624429 757731 1573749 2273193 6819579 11521397 20458737 34564191 103692573 149778161 311077719 449334483 933233157 1348003449 4044010347 12132031041