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22202101012100 = 22529720479111767
BaseRepresentation
bin1010000110001010101000…
…10110000001011010000100
32220121111111121000111220012
411003011110112001122010
510402224400324341400
6115115300541125352
74451022521544452
oct503052426013204
986544447014805
1022202101012100
11708a949239559
1225a6aba859858
13c5085921a9a9
1456a831c5d9d2
152877da99ed35
hex143154581684

22202101012100 has 72 divisors (see below), whose sum is σ = 48678057738240. Its totient is φ = 8788777528320.

The previous prime is 22202101012097. The next prime is 22202101012139. The reversal of 22202101012100 is 121010120222.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198590417 + ... + 198702183.

Almost surely, 222202101012100 is an apocalyptic number.

22202101012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22202101012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24339028869120).

22202101012100 is an abundant number, since it is smaller than the sum of its proper divisors (26475956726140).

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

22202101012100 is a wasteful number, since it uses less digits than its factorization.

22202101012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132357 (or 132350 counting only the distinct ones).

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

Adding to 22202101012100 its reverse (121010120222), we get a palindrome (22323111132322).

The spelling of 22202101012100 in words is "twenty-two trillion, two hundred two billion, one hundred one million, twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 97 100 194 388 485 970 1940 2425 4850 9700 20479 40958 81916 102395 111767 204790 223534 409580 447068 511975 558835 1023950 1117670 1986463 2047900 2235340 2794175 3972926 5588350 7945852 9932315 10841399 11176700 19864630 21682798 39729260 43365596 49661575 54206995 99323150 108413990 198646300 216827980 271034975 542069950 1084139900 2288876393 4577752786 9155505572 11444381965 22888763930 45777527860 57221909825 114443819650 222021010121 228887639300 444042020242 888084040484 1110105050605 2220210101210 4440420202420 5550525253025 11101050506050 22202101012100