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22121102020 = 22526939710357
BaseRepresentation
bin10100100110100001…
…010011101011000100
32010002122202102012211
4110212201103223010
5330301000231040
614055015553204
71412116156543
oct244641235304
963078672184
1022121102020
1194218703a6
12435438b804
132116c736a4
1410dbca615a
158970a08ea
hex526853ac4

22121102020 has 48 divisors (see below), whose sum is σ = 46748968560. Its totient is φ = 8792492544.

The previous prime is 22121101987. The next prime is 22121102027. The reversal of 22121102020 is 2020112122.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1329769156 + 20791332864 = 36466^2 + 144192^2 .

It is not an unprimeable number, because it can be changed into a prime (22121102027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2130682 + ... + 2141038.

It is an arithmetic number, because the mean of its divisors is an integer number (973936845).

Almost surely, 222121102020 is an apocalyptic number.

22121102020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22121102020 is an abundant number, since it is smaller than the sum of its proper divisors (24627866540).

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

22121102020 is a wasteful number, since it uses less digits than its factorization.

22121102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11032 (or 11030 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 22121102020 its reverse (2020112122), we get a palindrome (24141214142).

The spelling of 22121102020 in words is "twenty-two billion, one hundred twenty-one million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 269 397 538 794 1076 1345 1588 1985 2690 3970 5380 7940 10357 20714 41428 51785 103570 106793 207140 213586 427172 533965 1067930 2135860 2786033 4111729 5572066 8223458 11144132 13930165 16446916 20558645 27860330 41117290 55720660 82234580 1106055101 2212110202 4424220404 5530275505 11060551010 22121102020