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13142335513132 = 2271722017805213
BaseRepresentation
bin1011111100111111000000…
…1111010110001000101100
31201112101122221212202202001
42333033300033112020230
53210311000342410012
643541301112342044
72524334216452030
oct277176017261054
951471587782661
1013142335513132
1142076a6860481
1215830a56a4924
13744417377a37
143361418c81c0
1517bce0442357
hexbf3f03d622c

13142335513132 has 72 divisors (see below), whose sum is σ = 27935656479584. Its totient is φ = 5298475327488.

The previous prime is 13142335513049. The next prime is 13142335513141. The reversal of 13142335513132 is 23131553324131.

It is a junction number, because it is equal to n+sod(n) for n = 13142335513091 and 13142335513100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15918958 + ... + 16724170.

Almost surely, 213142335513132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13142335513132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13967828239792).

13142335513132 is an abundant number, since it is smaller than the sum of its proper divisors (14793320966452).

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

13142335513132 is a wasteful number, since it uses less digits than its factorization.

13142335513132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807275 (or 807256 counting only the distinct ones).

The product of its digits is 97200, while the sum is 37.

Adding to 13142335513132 its reverse (23131553324131), we get a palindrome (36273888837263).

The spelling of 13142335513132 in words is "thirteen trillion, one hundred forty-two billion, three hundred thirty-five million, five hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 289 476 578 1156 2017 2023 4034 4046 8068 8092 14119 28238 34289 56476 68578 137156 240023 480046 582913 805213 960092 1165826 1610426 2331652 3220852 4080391 5636491 8160782 11272982 13688621 16321564 22545964 27377242 54754484 95820347 191640694 232706557 383281388 465413114 930826228 1624114621 1628945899 3248229242 3257891798 6496458484 6515783596 11368802347 22737604694 27609948557 45475209388 55219897114 110439794228 193269639899 386539279798 469369125469 773078559596 938738250938 1877476501876 3285583878283 6571167756566 13142335513132