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20085935121 = 3372331149053
BaseRepresentation
bin10010101101001101…
…110000110000010001
31220211211020020002000
4102231031300300101
5312113444410441
613121035144213
71310514426420
oct225515606021
956754206060
1020085935121
118577a9438a
123a868a5069
131b81435615
14d878952b7
157c85932b6
hex4ad370c11

20085935121 has 64 divisors (see below), whose sum is σ = 36631511040. Its totient is φ = 10624426560.

The previous prime is 20085935117. The next prime is 20085935141. The reversal of 20085935121 is 12153958002.

20085935121 is a `hidden beast` number, since 200 + 85 + 9 + 351 + 21 = 666.

It is not a de Polignac number, because 20085935121 - 22 = 20085935117 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20085935141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60231 + ... + 209283.

It is an arithmetic number, because the mean of its divisors is an integer number (572367360).

Almost surely, 220085935121 is an apocalyptic number.

20085935121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20085935121 is a deficient number, since it is larger than the sum of its proper divisors (16545575919).

20085935121 is a wasteful number, since it uses less digits than its factorization.

20085935121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149123 (or 149117 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 20085935121 in words is "twenty billion, eighty-five million, nine hundred thirty-five thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 23 27 31 63 69 93 161 189 207 217 279 483 621 651 713 837 1449 1953 2139 4347 4991 5859 6417 14973 19251 44919 134757 149053 447159 1043371 1341477 3130113 3428219 4024431 4620643 9390339 10284657 13861929 23997533 28171017 30853971 32344501 41585787 71992599 92561913 97033503 106274789 124757361 215977797 291100509 318824367 647933391 743923523 873301527 956473101 2231770569 2869419303 6695311707 20085935121