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110221022100020 = 225132691575936833
BaseRepresentation
bin11001000011111011010100…
…110111100111101000110100
3112110021000201112121210111112
4121003323110313213220310
5103421330123124200040
61030230501042254152
732134130451415106
oct3103732467475064
9473230645553445
10110221022100020
1132135522579277
12104416a5357358
134966a4a972670
141d30a23d69576
15cb217d4ec365
hex643ed4de7a34

110221022100020 has 48 divisors (see below), whose sum is σ = 250195731765840. Its totient is φ = 40545702813696.

The previous prime is 110221022100017. The next prime is 110221022100031. The reversal of 110221022100020 is 20001220122011.

It can be written as a sum of positive squares in 8 ways, for example, as 59331802965796 + 50889219134224 = 7702714^2 + 7133668^2 .

It is a junction number, because it is equal to n+sod(n) for n = 110221022099968 and 110221022100004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 787898477 + ... + 788038356.

It is an arithmetic number, because the mean of its divisors is an integer number (5212411078455).

Almost surely, 2110221022100020 is an apocalyptic number.

110221022100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110221022100020 is an abundant number, since it is smaller than the sum of its proper divisors (139974709665820).

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

110221022100020 is a wasteful number, since it uses less digits than its factorization.

110221022100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1575937124 (or 1575937122 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 110221022100020 its reverse (20001220122011), we get a palindrome (130222242222031).

The spelling of 110221022100020 in words is "one hundred ten trillion, two hundred twenty-one billion, twenty-two million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 269 538 1076 1345 2690 3497 5380 6994 13988 17485 34970 69940 1575936833 3151873666 6303747332 7879684165 15759368330 20487178829 31518736660 40974357658 81948715316 102435894145 204871788290 409743576580 423927008077 847854016154 1695708032308 2119635040385 4239270080770 5511051105001 8478540161540 11022102210002 22044204420004 27555255525005 55110511050010 110221022100020