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12131819331 = 327147931153
BaseRepresentation
bin10110100110001110…
…01101111101000011
31011022111011021110220
423103013031331003
5144321221204311
65323454554123
7606431522442
oct132307157503
934274137426
1012131819331
115166106475
122426b08943
1311b4569428
14831332d59
154b010d206
hex2d31cdf43

12131819331 has 16 divisors (see below), whose sum is σ = 16269864960. Its totient is φ = 8040954240.

The previous prime is 12131819321. The next prime is 12131819339. The reversal of 12131819331 is 13391813121.

It is not a de Polignac number, because 12131819331 - 25 = 12131819299 is a prime.

It is a super-2 number, since 2×121318193312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12131819292 and 12131819301.

It is not an unprimeable number, because it can be changed into a prime (12131819339) 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 15 ways as a sum of consecutive naturals, for example, 373851 + ... + 405003.

It is an arithmetic number, because the mean of its divisors is an integer number (1016866560).

Almost surely, 212131819331 is an apocalyptic number.

12131819331 is a deficient number, since it is larger than the sum of its proper divisors (4138045629).

12131819331 is a wasteful number, since it uses less digits than its factorization.

12131819331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31906.

The product of its digits is 3888, while the sum is 33.

The spelling of 12131819331 in words is "twelve billion, one hundred thirty-one million, eight hundred nineteen thousand, three hundred thirty-one".

Divisors: 1 3 271 479 813 1437 31153 93459 129809 389427 8442463 14922287 25327389 44766861 4043939777 12131819331