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21121533657 = 3273767135241
BaseRepresentation
bin10011101010111100…
…010000011011011001
32000111222220002012100
4103222330100123121
5321224103034112
613411511434013
71345261034220
oct235274203331
960458802170
1021121533657
118a59611944
124115685909
131cb7b57b13
14104522bcb7
158394572dc
hex4eaf106d9

21121533657 has 48 divisors (see below), whose sum is σ = 36344394112. Its totient is φ = 11567888640.

The previous prime is 21121533541. The next prime is 21121533661. The reversal of 21121533657 is 75633512112.

21121533657 is a `hidden beast` number, since 2 + 112 + 1 + 533 + 6 + 5 + 7 = 666.

It is not a de Polignac number, because 21121533657 - 27 = 21121533529 is a prime.

It is a super-2 number, since 2×211215336572 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21121533157) 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, 88557 + ... + 223797.

Almost surely, 221121533657 is an apocalyptic number.

It is an amenable number.

21121533657 is a deficient number, since it is larger than the sum of its proper divisors (15222860455).

21121533657 is a wasteful number, since it uses less digits than its factorization.

21121533657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135358 (or 135355 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The spelling of 21121533657 in words is "twenty-one billion, one hundred twenty-one million, five hundred thirty-three thousand, six hundred fifty-seven".

Divisors: 1 3 7 9 21 37 63 67 111 201 259 333 469 603 777 1407 2331 2479 4221 7437 17353 22311 52059 135241 156177 405723 946687 1217169 2840061 5003917 8520183 9061147 15011751 27183441 35027419 45035253 63428029 81550323 105082257 190284087 315246771 335262439 570852261 1005787317 2346837073 3017361951 7040511219 21121533657