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22120202002100 = 22521393405746727
BaseRepresentation
bin1010000011110010000101…
…10010000101111010110100
32220022200002220120201220112
411001321002302011322310
510344404133203031400
6115013514105122152
74442063140465526
oct501710262057264
986280086521815
1022120202002100
1170591413a3124
122593062a89358
13c45c0683ab27
145668a2bd7a16
152855e591b835
hex141e42c85eb4

22120202002100 has 72 divisors (see below), whose sum is σ = 48348622365120. Its totient is φ = 8783979621120.

The previous prime is 22120202002099. The next prime is 22120202002141. The reversal of 22120202002100 is 120020202122.

It is a super-2 number, since 2×221202020021002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 473368937 + ... + 473415663.

It is an arithmetic number, because the mean of its divisors is an integer number (671508643960).

Almost surely, 222120202002100 is an apocalyptic number.

22120202002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22120202002100 is an abundant number, since it is smaller than the sum of its proper divisors (26228420363020).

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

22120202002100 is a wasteful number, since it uses less digits than its factorization.

22120202002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80937 (or 80930 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 22120202002100 its reverse (120020202122), we get a palindrome (22240222204222).

The spelling of 22120202002100 in words is "twenty-two trillion, one hundred twenty billion, two hundred two million, two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 139 278 556 695 1390 2780 3475 6950 13900 34057 46727 68114 93454 136228 170285 186908 233635 340570 467270 681140 851425 934540 1168175 1702850 2336350 3405700 4672700 4733923 6495053 9467846 12990106 18935692 23669615 25980212 32475265 47339230 64950530 94678460 118348075 129901060 162376325 236696150 324752650 473392300 649505300 1591381439 3182762878 6365525756 7956907195 15913814390 31827628780 39784535975 79569071950 159138143900 221202020021 442404040042 884808080084 1106010100105 2212020200210 4424040400420 5530050500525 11060101001050 22120202002100