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100022212110021 = 31931436719647923
BaseRepresentation
bin10110101111100000111100…
…011011000010011011000101
3111010011000210221022122000020
4112233200330123002123011
5101102230442300010041
6552421323033205353
730032236442023425
oct2657407433023305
9433130727278006
10100022212110021
11299632001871a3
12b274b84560859
1343a7091c02306
141a9b15ac08485
15b86c1984a866
hex5af83c6c26c5

100022212110021 has 64 divisors (see below), whose sum is σ = 150493666836480. Its totient is φ = 58821162966720.

The previous prime is 100022212109957. The next prime is 100022212110031. The reversal of 100022212110021 is 120011212220001.

100022212110021 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 100022212110021 - 26 = 100022212109957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100022212110031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4733235 + ... + 14914688.

It is an arithmetic number, because the mean of its divisors is an integer number (2351463544320).

Almost surely, 2100022212110021 is an apocalyptic number.

It is an amenable number.

100022212110021 is a deficient number, since it is larger than the sum of its proper divisors (50471454726459).

100022212110021 is a wasteful number, since it uses less digits than its factorization.

100022212110021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19648086.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100022212110021 its reverse (120011212220001), we get a palindrome (220033424330022).

The spelling of 100022212110021 in words is "one hundred trillion, twenty-two billion, two hundred twelve million, one hundred ten thousand, twenty-one".

Divisors: 1 3 19 31 43 57 67 93 129 201 589 817 1273 1333 1767 2077 2451 2881 3819 3999 6231 8643 25327 39463 54739 75981 89311 118389 164217 267933 1696909 5090727 19647923 58943769 373310537 609085613 844860689 1119931611 1316410841 1827256839 2534582067 3949232523 11572626647 16052353091 25011805979 26190681359 34717879941 40808736071 48157059273 56605666163 75035417937 78572044077 122426208213 169816998489 497622945821 775365985349 1075507657097 1492868837463 1754775651053 2326097956047 3226522971291 5264326953159 33340737370007 100022212110021