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10020637275 = 3521170117327
BaseRepresentation
bin10010101010100011…
…01100101001011011
3221212100121010010220
421111101230221123
5131010240343100
64334201011123
7503215003635
oct112521545133
927770533126
1010020637275
114282430110
121b37a83aa3
13c3906498c
146b0bb5a55
153d9ad7aa0
hex25546ca5b

10020637275 has 48 divisors (see below), whose sum is σ = 18100412928. Its totient is φ = 4851280000.

The previous prime is 10020637163. The next prime is 10020637279. The reversal of 10020637275 is 57273602001.

10020637275 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10020637275 - 220 = 10019588699 is a prime.

It is a super-3 number, since 3×100206372753 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (10020637279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 569662 + ... + 586988.

It is an arithmetic number, because the mean of its divisors is an integer number (377091936).

Almost surely, 210020637275 is an apocalyptic number.

10020637275 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10020637275 is a deficient number, since it is larger than the sum of its proper divisors (8079775653).

10020637275 is a wasteful number, since it uses less digits than its factorization.

10020637275 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18052 (or 18047 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The spelling of 10020637275 in words is "ten billion, twenty million, six hundred thirty-seven thousand, two hundred seventy-five".

Divisors: 1 3 5 11 15 25 33 55 75 165 275 701 825 2103 3505 7711 10515 17327 17525 23133 38555 51981 52575 86635 115665 190597 192775 259905 433175 571791 578325 952985 1299525 2858955 4764925 12146227 14294775 36438681 60731135 133608497 182193405 303655675 400825491 668042485 910967025 2004127455 3340212425 10020637275