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22121121102020 = 22529274491389481
BaseRepresentation
bin1010000011110011110011…
…00100001011100011000100
32220022202110222000211222022
411001321321210023203010
510344413024000231040
6115014145220422312
74442125000634243
oct501717144134304
986282428024868
1022121121102020
117059573190536
12259327a847998
13c46022091035
1456694ccc695a
1528564b46c6b5
hex141e7990b8c4

22121121102020 has 48 divisors (see below), whose sum is σ = 48058013934000. Its totient is φ = 8543012136960.

The previous prime is 22121121102007. The next prime is 22121121102071. The reversal of 22121121102020 is 2020112112122.

It can be written as a sum of positive squares in 8 ways, for example, as 162375149764 + 21958745952256 = 402958^2 + 4686016^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 22121121102020.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15225680 + ... + 16615160.

It is an arithmetic number, because the mean of its divisors is an integer number (1001208623625).

Almost surely, 222121121102020 is an apocalyptic number.

22121121102020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22121121102020 is an abundant number, since it is smaller than the sum of its proper divisors (25936892831980).

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

22121121102020 is a wasteful number, since it uses less digits than its factorization.

22121121102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416968 (or 1416966 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 22121121102020 its reverse (2020112112122), we get a palindrome (24141233214142).

The spelling of 22121121102020 in words is "twenty-two trillion, one hundred twenty-one billion, one hundred twenty-one million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 27449 54898 109796 137245 274490 548980 796021 1389481 1592042 2778962 3184084 3980105 5557924 6947405 7960210 13894810 15920420 27789620 40294949 80589898 161179796 201474745 402949490 805898980 38139863969 76279727938 152559455876 190699319845 381398639690 762797279380 1106056055101 2212112110202 4424224220404 5530280275505 11060560551010 22121121102020