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102022122200020 = 225111191593891749
BaseRepresentation
bin10111001100100111100000…
…010110100101101111010100
3111101020012221002222120122021
4113030213200112211233110
5101333012301240400040
61000552152123142524
730326566203222301
oct2714474026455724
9441205832876567
10102022122200020
112a5643802a82a0
12b5386a2374a44
1344c084c9466a9
141b29c7b7720a8
15bbdc699b824a
hex5cc9e05a5bd4

102022122200020 has 48 divisors (see below), whose sum is σ = 233725428720000. Its totient is φ = 37098632654720.

The previous prime is 102022122199979. The next prime is 102022122200027. The reversal of 102022122200020 is 20002221220201.

It is a junction number, because it is equal to n+sod(n) for n = 102022122199967 and 102022122200003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102022122200027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24269106 + ... + 28160854.

It is an arithmetic number, because the mean of its divisors is an integer number (4869279765000).

Almost surely, 2102022122200020 is an apocalyptic number.

102022122200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102022122200020 is an abundant number, since it is smaller than the sum of its proper divisors (131703306519980).

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

102022122200020 is a wasteful number, since it uses less digits than its factorization.

102022122200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4010928 (or 4010926 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 102022122200020 its reverse (20002221220201), we get a palindrome (122024343420221).

The spelling of 102022122200020 in words is "one hundred two trillion, twenty-two billion, one hundred twenty-two million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 119159 238318 476636 595795 1191590 1310749 2383180 2621498 3891749 5242996 6553745 7783498 13107490 15566996 19458745 26214980 38917490 42809239 77834980 85618478 171236956 214046195 428092390 856184780 463736919091 927473838182 1854947676364 2318684595455 4637369190910 5101106110001 9274738381820 10202212220002 20404424440004 25505530550005 51011061100010 102022122200020