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221303222112312 = 23326553469045607
BaseRepresentation
bin110010010100011000101011…
…111100010001000000111000
31002000120101022001102021121100
4302110120223330101000320
5213001312444330043222
62102401144032211400
764420426101455424
oct6224305374210070
91060511261367540
10221303222112312
116457219557920a
12209a2069399b60
139663a5c07b582
143c911c132db84
151a8b910b654ac
hexc9462bf11038

221303222112312 has 48 divisors (see below), whose sum is σ = 599454358392240. Its totient is φ = 73756483452288.

The previous prime is 221303222112307. The next prime is 221303222112317. The reversal of 221303222112312 is 213211222303122.

221303222112312 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 0 + 322 + 21 + 1 + 2 + 312 = 666.

It is an interprime number because it is at equal distance from previous prime (221303222112307) and next prime (221303222112317).

It is a super-2 number, since 2×2213032221123122 (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 (221303222112317) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 234050988 + ... + 234994619.

It is an arithmetic number, because the mean of its divisors is an integer number (12488632466505).

Almost surely, 2221303222112312 is an apocalyptic number.

It is an amenable number.

221303222112312 is an abundant number, since it is smaller than the sum of its proper divisors (378151136279928).

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

221303222112312 is a wasteful number, since it uses less digits than its factorization.

221303222112312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469052172 (or 469052165 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 221303222112312 its reverse (213211222303122), we get a palindrome (434514444415434).

The spelling of 221303222112312 in words is "two hundred twenty-one trillion, three hundred three billion, two hundred twenty-two million, one hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 6553 13106 19659 26212 39318 52424 58977 78636 117954 157272 235908 471816 469045607 938091214 1407136821 1876182428 2814273642 3752364856 4221410463 5628547284 8442820926 11257094568 16885641852 33771283704 3073655862671 6147311725342 9220967588013 12294623450684 18441935176026 24589246901368 27662902764039 36883870352052 55325805528078 73767740704104 110651611056156 221303222112312