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22121110002020 = 2253121354391381
BaseRepresentation
bin1010000011110011110001…
…11001110101100101100100
32220022202110012010220122012
411001321320321311211210
510344413013130031040
6115014144142453352
74442124504403601
oct501717071654544
986282405126565
1022121110002020
117059567999987
122593276b94258
13c4601c9a58a3
1456694b6376a8
1528564a4c8865
hex141e78e75964

22121110002020 has 24 divisors (see below), whose sum is σ = 46469215573368. Its totient is φ = 8845608844800.

The previous prime is 22121110002007. The next prime is 22121110002031. The reversal of 22121110002020 is 2020001112122.

It can be written as a sum of positive squares in 4 ways, for example, as 140259238144 + 21980850763876 = 374512^2 + 4688374^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22121110001986 and 22121110002004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 177133271 + ... + 177258110.

It is an arithmetic number, because the mean of its divisors is an integer number (1936217315557).

Almost surely, 222121110002020 is an apocalyptic number.

22121110002020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22121110002020 is an abundant number, since it is smaller than the sum of its proper divisors (24348105571348).

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

22121110002020 is a wasteful number, since it uses less digits than its factorization.

22121110002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354394511 (or 354394509 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 22121110002020 its reverse (2020001112122), we get a palindrome (24141111114142).

The spelling of 22121110002020 in words is "twenty-two trillion, one hundred twenty-one billion, one hundred ten million, two thousand, twenty".

Divisors: 1 2 4 5 10 20 3121 6242 12484 15605 31210 62420 354391381 708782762 1417565524 1771956905 3543913810 7087827620 1106055500101 2212111000202 4424222000404 5530277500505 11060555001010 22121110002020