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12331313132202 = 23211532215326821
BaseRepresentation
bin1011001101110001101110…
…0010011111001010101010
31121122212021102012001122200
42303130123202133022222
53104014012130212302
642120532124201030
72411623302120441
oct263343342371252
947585242161580
1012331313132202
113a24753871859
121471a83999176
136b5ab796898c
14308ba5707d58
15165b7463e81c
hexb371b89f2aa

12331313132202 has 48 divisors (see below), whose sum is σ = 26743221747528. Its totient is φ = 4106534215680.

The previous prime is 12331313132153. The next prime is 12331313132207. The reversal of 12331313132202 is 20223131313321.

12331313132202 is a `hidden beast` number, since 1 + 2 + 3 + 313 + 13 + 132 + 202 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11233363327641 + 1097949804561 = 3351621^2 + 1047831^2 .

It is a super-2 number, since 2×123313131322022 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12331313132207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 459749952 + ... + 459776772.

Almost surely, 212331313132202 is an apocalyptic number.

12331313132202 is an abundant number, since it is smaller than the sum of its proper divisors (14411908615326).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12331313132202 is a wasteful number, since it uses less digits than its factorization.

12331313132202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50135 (or 50132 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 12331313132202 its reverse (20223131313321), we get a palindrome (32554444445523).

The spelling of 12331313132202 in words is "twelve trillion, three hundred thirty-one billion, three hundred thirteen million, one hundred thirty-two thousand, two hundred two".

Divisors: 1 2 3 6 9 18 1153 2306 3459 6918 10377 20754 22153 26821 44306 53642 66459 80463 132918 160926 199377 241389 398754 482778 25542409 30924613 51084818 61849226 76627227 92773839 153254454 185547678 229881681 278321517 459763362 556643034 594165613 1188331226 1782496839 3564993678 5347490517 10694981034 685072951789 1370145903578 2055218855367 4110437710734 6165656566101 12331313132202