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12331314230202 = 232111714932453779
BaseRepresentation
bin1011001101110001101110…
…0110101011001110111010
31121122212021111020211211100
42303130123212223032322
53104014012420331302
642120532203512230
72411623314342552
oct263343346531672
947585244224740
1012331314230202
113a247544517a0
121471a84228676
136b5ab7c61696
14308ba5912162
15165b747a9d1c
hexb371b9ab3ba

12331314230202 has 96 divisors (see below), whose sum is σ = 30881940223680. Its totient is φ = 3514595304960.

The previous prime is 12331314230167. The next prime is 12331314230237. The reversal of 12331314230202 is 20203241313321.

12331314230202 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 1 + 31 + 423 + 0 + 202 = 666.

It is an interprime number because it is at equal distance from previous prime (12331314230167) and next prime (12331314230237).

It is a super-2 number, since 2×123313142302022 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3798549 + ... + 6252327.

It is an arithmetic number, because the mean of its divisors is an integer number (321686877330).

Almost surely, 212331314230202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12331314230202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15440970111840).

12331314230202 is an abundant number, since it is smaller than the sum of its proper divisors (18550625993478).

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

12331314230202 is a wasteful number, since it uses less digits than its factorization.

12331314230202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2455308 (or 2455305 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 12331314230202 its reverse (20203241313321), we get a palindrome (32534555543523).

The spelling of 12331314230202 in words is "twelve trillion, three hundred thirty-one billion, three hundred fourteen million, two hundred thirty thousand, two hundred two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 306 374 561 1122 1493 1683 2986 3366 4479 8958 13437 16423 25381 26874 32846 49269 50762 76143 98538 147807 152286 228429 279191 295614 456858 558382 837573 1675146 2453779 2512719 4907558 5025438 7361337 14722674 22084011 26991569 41714243 44168022 53983138 80974707 83428486 125142729 161949414 242924121 250285458 375428187 458856673 485848242 750856374 917713346 1376570019 2753140038 3663492047 4129710057 7326984094 8259420114 10990476141 21980952282 32971428423 40298412517 62279364799 65942856846 80596825034 120895237551 124558729598 186838094397 241790475102 362685712653 373676188794 560514283191 685073012789 725371425306 1121028566382 1370146025578 2055219038367 4110438076734 6165657115101 12331314230202