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220212012122010 = 23256613701664349
BaseRepresentation
bin110010000100100000011010…
…110000011111111110011010
31001212201001200202022021100100
4302010200122300133332122
5212330423200100401020
62100204000215120230
764245535642545336
oct6204403260377632
91055631622267310
10220212012122010
1164191431a22647
1220846691373076
1395b4b993abc8c
143c544654187c6
151a6d346c11a90
hexc8481ac1ff9a

220212012122010 has 48 divisors (see below), whose sum is σ = 573417421129800. Its totient is φ = 58634363272320.

The previous prime is 220212012121993. The next prime is 220212012122017. The reversal of 220212012122010 is 10221210212022.

It is a happy number.

220212012122010 is a `hidden beast` number, since 2 + 202 + 120 + 121 + 220 + 1 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 188081174204361 + 32130837917649 = 13714269^2 + 5668407^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (220212012122017) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1850772685 + ... + 1850891664.

Almost surely, 2220212012122010 is an apocalyptic number.

220212012122010 is an abundant number, since it is smaller than the sum of its proper divisors (353205409007790).

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

220212012122010 is a wasteful number, since it uses less digits than its factorization.

220212012122010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3701665023 (or 3701665020 counting only the distinct ones).

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

Adding to 220212012122010 its reverse (10221210212022), we get a palindrome (230433222334032).

The spelling of 220212012122010 in words is "two hundred twenty trillion, two hundred twelve billion, twelve million, one hundred twenty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 661 1322 1983 3305 3966 5949 6610 9915 11898 19830 29745 59490 3701664349 7403328698 11104993047 18508321745 22209986094 33314979141 37016643490 55524965235 66629958282 111049930470 166574895705 333149791410 2446800134689 4893600269378 7340400404067 12234000673445 14680800808134 22021201212201 24468001346890 36702002020335 44042402424402 73404004040670 110106006061005 220212012122010