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221220110110212 = 223233730376004093
BaseRepresentation
bin110010010011001011010010…
…000101001000111000000100
31002000021102202211112010021100
4302103023102011020320010
5212443432241142011322
62102255040545420100
764411424361220413
oct6223132205107004
91060242684463240
10221220110110212
116453aa15a62974
1220989b3333a630
139658c752a87c5
143c8b17915547a
151a8969937bdac
hexc932d2148e04

221220110110212 has 72 divisors (see below), whose sum is σ = 561039378839576. Its totient is φ = 73497002793984.

The previous prime is 221220110110211. The next prime is 221220110110213. The reversal of 221220110110212 is 212011011022122.

221220110110212 is a `hidden beast` number, since 2 + 212 + 20 + 110 + 110 + 212 = 666.

It is an interprime number because it is at equal distance from previous prime (221220110110211) and next prime (221220110110213).

It can be written as a sum of positive squares in 4 ways, for example, as 33491035676736 + 187729074433476 = 5787144^2 + 13701426^2 .

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 (221220110110211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33842838 + ... + 39846930.

Almost surely, 2221220110110212 is an apocalyptic number.

It is an amenable number.

221220110110212 is an abundant number, since it is smaller than the sum of its proper divisors (339819268729364).

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

221220110110212 is a wasteful number, since it uses less digits than its factorization.

221220110110212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6007477 (or 6007472 counting only the distinct ones).

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

Adding to 221220110110212 its reverse (212011011022122), we get a palindrome (433231121132334).

The spelling of 221220110110212 in words is "two hundred twenty-one trillion, two hundred twenty billion, one hundred ten million, one hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 337 674 1011 1348 2022 3033 3037 4044 6066 6074 9111 12132 12148 18222 27333 36444 54666 109332 1023469 2046938 3070407 4093876 6004093 6140814 9211221 12008186 12281628 18012279 18422442 24016372 36024558 36844884 54036837 72049116 108073674 216147348 2023379341 4046758682 6070138023 8093517364 12140276046 18210414069 18234430441 24280552092 36420828138 36468860882 54703291323 72841656276 72937721764 109406582646 164109873969 218813165292 328219747938 656439495876 6145003058617 12290006117234 18435009175851 24580012234468 36870018351702 55305027527553 73740036703404 110610055055106 221220110110212