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132022013011122 = 231331331316480433
BaseRepresentation
bin11110000001001011000101…
…001100000010010010110010
3122022110011220002012222010010
4132001023011030002102302
5114301022040312323442
61144442024150115350
736544163361545523
oct3601130514022262
9568404802188103
10132022013011122
11390802485a1093
121298290104bb56
135888812575810
142485c8441884a
15103e2dedc4b9c
hex7812c53024b2

132022013011122 has 64 divisors (see below), whose sum is σ = 293616466891776. Its totient is φ = 39299897364480.

The previous prime is 132022013011121. The next prime is 132022013011183. The reversal of 132022013011122 is 221110310220231.

It is not an unprimeable number, because it can be changed into a prime (132022013011121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229383 + ... + 16251050.

It is an arithmetic number, because the mean of its divisors is an integer number (4587757295184).

Almost surely, 2132022013011122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132022013011122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146808233445888).

132022013011122 is an abundant number, since it is smaller than the sum of its proper divisors (161594453880654).

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

132022013011122 is a wasteful number, since it uses less digits than its factorization.

132022013011122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16483795.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 132022013011122 its reverse (221110310220231), we get a palindrome (353132323231353).

The spelling of 132022013011122 in words is "one hundred thirty-two trillion, twenty-two billion, thirteen million, eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 13 26 31 39 62 78 93 186 403 806 1209 2418 3313 6626 9939 19878 43069 86138 102703 129207 205406 258414 308109 616218 1335139 2670278 4005417 8010834 16480433 32960866 49441299 98882598 214245629 428491258 510893423 642736887 1021786846 1285473774 1532680269 3065360538 6641614499 13283228998 19924843497 39849686994 54599674529 109199349058 163799023587 327598047174 709795768877 1419591537754 1692589910399 2129387306631 3385179820798 4258774613262 5077769731197 10155539462394 22003668835187 44007337670374 66011006505561 132022013011122