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220112120101221 = 3271344463411739
BaseRepresentation
bin110010000011000011011000…
…101110101011100101100101
31001212100111212002211211201200
4302003003120232223211211
5212322304110221214341
62100050040110313113
764235401346434125
oct6203033056534545
91055314762754650
10220112120101221
1164153031538967
122082b2537b8799
1395a863a077b7a
143c4d6aa864c85
151a6a94c205db6
hexc830d8bab965

220112120101221 has 12 divisors (see below), whose sum is σ = 322417753388640. Its totient is φ = 144674632929960.

The previous prime is 220112120101213. The next prime is 220112120101229. The reversal of 220112120101221 is 122101021211022.

220112120101221 is a `hidden beast` number, since 2 + 201 + 121 + 20 + 101 + 221 = 666.

It is an interprime number because it is at equal distance from previous prime (220112120101213) and next prime (220112120101229).

It is not a de Polignac number, because 220112120101221 - 23 = 220112120101213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 220112120101194 and 220112120101203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220112120101229) 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 11 ways as a sum of consecutive naturals, for example, 172231705231 + ... + 172231706508.

It is an arithmetic number, because the mean of its divisors is an integer number (26868146115720).

Almost surely, 2220112120101221 is an apocalyptic number.

It is an amenable number.

220112120101221 is a deficient number, since it is larger than the sum of its proper divisors (102305633287419).

220112120101221 is a wasteful number, since it uses less digits than its factorization.

220112120101221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344463411816 (or 344463411813 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 220112120101221 its reverse (122101021211022), we get a palindrome (342213141312243).

The spelling of 220112120101221 in words is "two hundred twenty trillion, one hundred twelve billion, one hundred twenty million, one hundred one thousand, two hundred twenty-one".

Divisors: 1 3 9 71 213 639 344463411739 1033390235217 3100170705651 24456902233469 73370706700407 220112120101221