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220210121012022 = 23212233895611779
BaseRepresentation
bin110010000100011110101010…
…000010011111001100110110
31001212200212210221211221010200
4302010132222002133030312
5212330410311434341042
62100203044422101330
764245441040433211
oct6204365202371466
91055625727757120
10220210121012022
1164190651499729
1220846243b7a846
1395b495766b99b
143c543261c6778
151a6d285bacc4c
hexc847aa09f336

220210121012022 has 12 divisors (see below), whose sum is σ = 477121928859420. Its totient is φ = 73403373670668.

The previous prime is 220210121012003. The next prime is 220210121012047.

It is a happy number.

220210121012022 is a `hidden beast` number, since 220 + 210 + 1 + 210 + 1 + 2 + 0 + 22 = 666.

220210121012022 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2202101210120222 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 12233895611779 = 220210121012022 / (2 + 2 + 0 + 2 + 1 + 0 + 1 + 2 + 1 + 0 + 1 + 2 + 0 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 220210121011986 and 220210121012004.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 6116947805872 + ... + 6116947805907.

It is an arithmetic number, because the mean of its divisors is an integer number (39760160738285).

Almost surely, 2220210121012022 is an apocalyptic number.

220210121012022 is an abundant number, since it is smaller than the sum of its proper divisors (256911807847398).

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

220210121012022 is a wasteful number, since it uses less digits than its factorization.

220210121012022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12233895611787 (or 12233895611784 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The spelling of 220210121012022 in words is "two hundred twenty trillion, two hundred ten billion, one hundred twenty-one million, twelve thousand, twenty-two".

Divisors: 1 2 3 6 9 18 12233895611779 24467791223558 36701686835337 73403373670674 110105060506011 220210121012022