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21123340362252 = 223219100930606617
BaseRepresentation
bin1001100110110001010010…
…01100101110001000001100
32202210101000220112112012200
410303120221030232020030
510232041100113043002
6112531532324401500
74310053031402532
oct463305114561014
982711026475180
1021123340362252
1168043a3a4a707
122451a17b46290
13ba2bcb80b63b
145305374d2152
152696ee979b1c
hex13362932e20c

21123340362252 has 72 divisors (see below), whose sum is σ = 56261085207600. Its totient is φ = 6663917288448.

The previous prime is 21123340362251. The next prime is 21123340362323. The reversal of 21123340362252 is 25226304332112.

21123340362252 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 3 + 3 + 40 + 362 + 252 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (21123340362251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14613153 + ... + 15993464.

Almost surely, 221123340362252 is an apocalyptic number.

It is an amenable number.

21123340362252 is an abundant number, since it is smaller than the sum of its proper divisors (35137744845348).

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

21123340362252 is a wasteful number, since it uses less digits than its factorization.

21123340362252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30607655 (or 30607650 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 21123340362252 its reverse (25226304332112), we get a palindrome (46349644694364).

The spelling of 21123340362252 in words is "twenty-one trillion, one hundred twenty-three billion, three hundred forty million, three hundred sixty-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 1009 2018 3027 4036 6054 9081 12108 18162 19171 36324 38342 57513 76684 115026 172539 230052 345078 690156 30606617 61213234 91819851 122426468 183639702 275459553 367279404 550919106 581525723 1101838212 1163051446 1744577169 2326102892 3489154338 5233731507 6978308676 10467463014 20934926028 30882076553 61764153106 92646229659 123528306212 185292459318 277938688977 370584918636 555877377954 586759454507 1111754755908 1173518909014 1760278363521 2347037818028 3520556727042 5280835090563 7041113454084 10561670181126 21123340362252