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22102130022 = 23724115112143
BaseRepresentation
bin10100100101011000…
…111011110101100110
32010001100001112112020
4110211120323311212
5330231121130042
614053101204010
71411466001600
oct244530736546
963040045466
1022102130022
119412092465
124349b60606
13211306015b
1410d9568170
158955a43ec
hex52563bd66

22102130022 has 96 divisors (see below), whose sum is σ = 53028670464. Its totient is φ = 6119568000.

The previous prime is 22102129997. The next prime is 22102130033. The reversal of 22102130022 is 22003120122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 22102129983 and 22102130010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1814083 + ... + 1826225.

It is an arithmetic number, because the mean of its divisors is an integer number (552381984).

Almost surely, 222102130022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22102130022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26514335232).

22102130022 is an abundant number, since it is smaller than the sum of its proper divisors (30926540442).

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

22102130022 is a wasteful number, since it uses less digits than its factorization.

22102130022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12354 (or 12347 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 22102130022 its reverse (22003120122), we get a palindrome (44105250144).

The spelling of 22102130022 in words is "twenty-two billion, one hundred two million, one hundred thirty thousand, twenty-two".

Divisors: 1 2 3 6 7 14 21 41 42 49 82 98 123 147 151 246 287 294 302 453 574 861 906 1057 1722 2009 2114 3171 4018 6027 6191 6342 7399 12054 12143 12382 14798 18573 22197 24286 36429 37146 43337 44394 72858 85001 86674 130011 170002 255003 260022 303359 497863 510006 595007 606718 910077 995726 1190014 1493589 1785021 1820154 1833593 2987178 3485041 3570042 3667186 5500779 6970082 10455123 11001558 12835151 20910246 24395287 25670302 38505453 48790574 73185861 75177313 77010906 89846057 146371722 150354626 179692114 225531939 269538171 451063878 526241191 539076342 1052482382 1578723573 3157447146 3683688337 7367376674 11051065011 22102130022