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22121120210020 = 22513107337927069
BaseRepresentation
bin1010000011110011110011…
…00000110001110001100100
32220022202110220100112101021
411001321321200301301210
510344413023233210040
6115014145145340524
74442124660230536
oct501717140616144
986282426315337
1022121120210020
117059572731347
12259327a497744
13c46021b3b020
1456694cb33856
1528564b34324a
hex141e79831c64

22121120210020 has 48 divisors (see below), whose sum is σ = 50032431595440. Its totient is φ = 8167036202496.

The previous prime is 22121120209999. The next prime is 22121120210027. The reversal of 22121120210020 is 2001202112122.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 8036816765184 + 14084303444836 = 2834928^2 + 3752906^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22121120209976 and 22121120210003.

It is not an unprimeable number, because it can be changed into a prime (22121120210027) 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, 1172955 + ... + 6754114.

It is an arithmetic number, because the mean of its divisors is an integer number (1042342324905).

Almost surely, 222121120210020 is an apocalyptic number.

22121120210020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22121120210020 is an abundant number, since it is smaller than the sum of its proper divisors (27911311385420).

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

22121120210020 is a wasteful number, since it uses less digits than its factorization.

22121120210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7937824 (or 7937822 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22121120210020 its reverse (2001202112122), we get a palindrome (24122322322142).

The spelling of 22121120210020 in words is "twenty-two trillion, one hundred twenty-one billion, one hundred twenty million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 10733 21466 42932 53665 107330 139529 214660 279058 558116 697645 1395290 2790580 7927069 15854138 31708276 39635345 79270690 103051897 158541380 206103794 412207588 515259485 1030518970 2061037940 85081231577 170162463154 340324926308 425406157885 850812315770 1106056010501 1701624631540 2212112021002 4424224042004 5530280052505 11060560105010 22121120210020