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13032131330322 = 23213235931192337
BaseRepresentation
bin1011110110100100011110…
…0011110000000100010010
31201010212012122021020012200
42331221013203300010102
53202004301110032242
643414513430304030
72513353235403306
oct275510743600422
951125178236180
1013032131330322
114174994430845
12156586a4b8016
13736c0378aa00
14330a89553d06
15178ee046604c
hexbda478f0112

13032131330322 has 72 divisors (see below), whose sum is σ = 30583920403764. Its totient is φ = 4008767173632.

The previous prime is 13032131330291. The next prime is 13032131330369. The reversal of 13032131330322 is 22303313123031.

13032131330322 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 2 + 1 + 3 + 1 + 330 + 322 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 58022692641 + 12974108637681 = 240879^2 + 3601959^2 .

It is a super-2 number, since 2×130321313303222 (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 35 ways as a sum of consecutive naturals, for example, 10333738 + ... + 11526074.

Almost surely, 213032131330322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13032131330322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15291960201882).

13032131330322 is an abundant number, since it is smaller than the sum of its proper divisors (17551789073442).

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

13032131330322 is a wasteful number, since it uses less digits than its factorization.

13032131330322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195964 (or 1195948 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 13032131330322 its reverse (22303313123031), we get a palindrome (35335444453353).

The spelling of 13032131330322 in words is "thirteen trillion, thirty-two billion, one hundred thirty-one million, three hundred thirty thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 169 234 338 507 1014 1521 3042 3593 7186 10779 21558 32337 46709 64674 93418 140127 280254 420381 607217 840762 1192337 1214434 1821651 2384674 3577011 3643302 5464953 7154022 10731033 10929906 15500381 21462066 31000762 46501143 93002286 139503429 201504953 279006858 403009906 604514859 1209029718 1813544577 3627089154 4284066841 8568133682 12852200523 25704401046 38556601569 55692868933 77113203138 111385737866 167078606799 334157213598 501235820397 724007296129 1002471640794 1448014592258 2172021888387 4344043776774 6516065665161 13032131330322