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221302114404111 = 32134129652970163
BaseRepresentation
bin110010010100010111101001…
…111010101100011100001111
31002000120021102212001212121200
4302110113221322230130033
5213001303212241412421
62102400442102200543
764420356461216436
oct6224275172543417
91060507385055550
10221302114404111
1164571777279694
12209a19ba423153
13966391372c230
143c9111818611d
151a8b8987aa726
hexc945e9eac70f

221302114404111 has 48 divisors (see below), whose sum is σ = 344388753727200. Its totient is φ = 136130139979776.

The previous prime is 221302114404109. The next prime is 221302114404113. The reversal of 221302114404111 is 111404411203122.

221302114404111 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 0 + 211 + 440 + 4 + 1 + 1 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (221302114404109) and next prime (221302114404113).

It is not a de Polignac number, because 221302114404111 - 21 = 221302114404109 is a prime.

It is a super-2 number, since 2×2213021144041112 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221302114404113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3154079116 + ... + 3154149278.

It is an arithmetic number, because the mean of its divisors is an integer number (7174765702650).

Almost surely, 2221302114404111 is an apocalyptic number.

221302114404111 is a deficient number, since it is larger than the sum of its proper divisors (123086639323089).

221302114404111 is a wasteful number, since it uses less digits than its factorization.

221302114404111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80840 (or 80837 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 221302114404111 its reverse (111404411203122), we get a palindrome (332706525607233).

The spelling of 221302114404111 in words is "two hundred twenty-one trillion, three hundred two billion, one hundred fourteen million, four hundred four thousand, one hundred eleven".

Divisors: 1 3 9 13 39 117 4129 6529 12387 19587 37161 53677 58761 70163 84877 161031 210489 254631 483093 631467 763893 912119 2736357 8209071 26958241 80874723 242624169 289703027 350457133 458094227 869109081 1051371399 1374282681 2607327243 3154114197 3766139351 4122848043 5955224951 11298418053 17865674853 33895254159 53597024559 1891471063283 5674413189849 17023239569547 24589123822679 73767371468037 221302114404111