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220120220010201 = 3719551679749399
BaseRepresentation
bin110010000011001010111011…
…100001011000011011011001
31001212101021202121020211222120
4302003022323201120123121
5212322422202310311301
62100053455535411453
764236106152510120
oct6203127341303331
91055337677224876
10220120220010201
1164156508745415
1220830934383b89
1395a932b1cc214
143c4dc384d8ab7
151a6ac73388e36
hexc832bb8586d9

220120220010201 has 16 divisors (see below), whose sum is σ = 353075039616000. Its totient is φ = 119162825869968.

The previous prime is 220120220010161. The next prime is 220120220010211. The reversal of 220120220010201 is 102010022021022.

It is not a de Polignac number, because 220120220010201 - 26 = 220120220010137 is a prime.

It is a super-3 number, since 3×2201202200102013 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (220120220010211) 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 15 ways as a sum of consecutive naturals, for example, 275839874301 + ... + 275839875098.

It is an arithmetic number, because the mean of its divisors is an integer number (22067189976000).

Almost surely, 2220120220010201 is an apocalyptic number.

220120220010201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

220120220010201 is a deficient number, since it is larger than the sum of its proper divisors (132954819605799).

220120220010201 is a wasteful number, since it uses less digits than its factorization.

220120220010201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551679749428.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 220120220010201 its reverse (102010022021022), we get a palindrome (322130242031223).

The spelling of 220120220010201 in words is "two hundred twenty trillion, one hundred twenty billion, two hundred twenty million, ten thousand, two hundred one".

Divisors: 1 3 7 19 21 57 133 399 551679749399 1655039248197 3861758245793 10481915238581 11585274737379 31445745715743 73373406670067 220120220010201