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2132022110022 = 2327151319135117
BaseRepresentation
bin11111000001100110011…
…010111010011101000110
321112211010021201221001200
4133001212122322131012
5234412340130010042
64311234253003330
7310014331631640
oct37014632723506
97484107657050
102132022110022
11752204999122
122a5249a83546
13126083354bbc
147529472b890
153a6d361ec4c
hex1f0666ba746

2132022110022 has 96 divisors (see below), whose sum is σ = 5316071814144. Its totient is φ = 604908216000.

The previous prime is 2132022109999. The next prime is 2132022110047. The reversal of 2132022110022 is 2200112202312.

2132022110022 is a `hidden beast` number, since 2 + 1 + 320 + 221 + 100 + 22 = 666.

It is a super-2 number, since 2×21320221100222 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2132022109977 and 2132022110004.

It is a congruent number.

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, 60694408 + ... + 60729524.

It is an arithmetic number, because the mean of its divisors is an integer number (55375748064).

Almost surely, 22132022110022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132022110022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2658035907072).

2132022110022 is an abundant number, since it is smaller than the sum of its proper divisors (3184049704122).

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

2132022110022 is a wasteful number, since it uses less digits than its factorization.

2132022110022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38474 (or 38471 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2132022110022 its reverse (2200112202312), we get a palindrome (4332134312334).

The spelling of 2132022110022 in words is "two trillion, one hundred thirty-two billion, twenty-two million, one hundred ten thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 151 302 453 906 1057 1359 2114 2718 3171 3191 6342 6382 9513 9573 19026 19146 22337 28719 35117 44674 57438 67011 70234 105351 134022 201033 210702 245819 316053 402066 481841 491638 632106 737457 963682 1445523 1474914 2212371 2891046 3372887 4336569 4424742 5302667 6745774 8673138 10118661 10605334 15908001 20237322 30355983 31816002 37118669 47724003 60711966 74237338 95448006 111356007 112058347 222712014 224116694 334068021 336175041 668136042 672350082 784408429 1008525123 1568816858 2017050246 2353225287 4706450574 7059675861 14119351722 16920810397 33841620794 50762431191 101524862382 118445672779 152287293573 236891345558 304574587146 355337018337 710674036674 1066011055011 2132022110022