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22101102222020 = 2259716576875269
BaseRepresentation
bin1010000011001110100000…
…10110001101101011000100
32220020211210210222101020022
411001213100112031223010
510344101024132101040
6115001034534354312
74440515626154513
oct501472026155304
986224723871208
1022101102222020
117051030036708
12258b4124bb998
13c44181805a03
145659b02c867a
15284d78c226b5
hex1419d058dac4

22101102222020 has 48 divisors (see below), whose sum is σ = 46919097568560. Its totient is φ = 8744020844544.

The previous prime is 22101102221971. The next prime is 22101102222061. The reversal of 22101102222020 is 2022220110122.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2350757435524 + 19750344786496 = 1533218^2 + 4444136^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 22101102222020.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223055 + ... + 6652214.

It is an arithmetic number, because the mean of its divisors is an integer number (977481199345).

Almost surely, 222101102222020 is an apocalyptic number.

22101102222020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22101102222020 is an abundant number, since it is smaller than the sum of its proper divisors (24817995346540).

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

22101102222020 is a wasteful number, since it uses less digits than its factorization.

22101102222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6877032 (or 6877030 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 22101102222020 its reverse (2022220110122), we get a palindrome (24123322332142).

The spelling of 22101102222020 in words is "twenty-two trillion, one hundred one billion, one hundred two million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 97 194 388 485 970 1657 1940 3314 6628 8285 16570 33140 160729 321458 642916 803645 1607290 3214580 6875269 13750538 27501076 34376345 68752690 137505380 666901093 1333802186 2667604372 3334505465 6669010930 11392320733 13338021860 22784641466 45569282932 56961603665 113923207330 227846414660 1105055111101 2210110222202 4420220444404 5525275555505 11050551111010 22101102222020