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22010122120100 = 2252613608216741
BaseRepresentation
bin1010000000100101000011…
…00000101010101110100100
32212221010222020212100000212
411000102201200222232210
510341103212230320400
6114451151023154552
74431115226103122
oct500224140525644
985833866770025
1022010122120100
117016493152534
122575861445a58
13c3871292248a
1456141d17c912
152828017e5335
hex1404a182aba4

22010122120100 has 36 divisors (see below), whose sum is σ = 48544948046868. Its totient is φ = 8659720176000.

The previous prime is 22010122119983. The next prime is 22010122120187. The reversal of 22010122120100 is 102122101022.

It can be written as a sum of positive squares in 6 ways, for example, as 9080977333156 + 12929144786944 = 3013466^2 + 3595712^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1804102271 + ... + 1804114470.

Almost surely, 222010122120100 is an apocalyptic number.

22010122120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22010122120100 is an abundant number, since it is smaller than the sum of its proper divisors (26534825926768).

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

22010122120100 is a wasteful number, since it uses less digits than its factorization.

22010122120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3608216816 (or 3608216809 counting only the distinct ones).

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

Adding to 22010122120100 its reverse (102122101022), we get a palindrome (22112244221122).

The spelling of 22010122120100 in words is "twenty-two trillion, ten billion, one hundred twenty-two million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 610 1220 1525 3050 6100 3608216741 7216433482 14432866964 18041083705 36082167410 72164334820 90205418525 180410837050 220101221201 360821674100 440202442402 880404884804 1100506106005 2201012212010 4402024424020 5502530530025 11005061060050 22010122120100