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10117750005 = 32511171202347
BaseRepresentation
bin10010110110001000…
…01001110011110101
3222010010022221202200
421123010021303311
5131210121000010
64351550255113
7505504312266
oct113304116365
928103287680
1010117750005
11432222a370
121b644b7499
13c5320722c
146bda5496d
153e33bbcc0
hex25b109cf5

10117750005 has 48 divisors (see below), whose sum is σ = 20257159104. Its totient is φ = 4617008640.

The previous prime is 10117750001. The next prime is 10117750033. The reversal of 10117750005 is 50005771101.

10117750005 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10117750005 - 22 = 10117750001 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10117750001) 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, 592759 + ... + 609588.

It is an arithmetic number, because the mean of its divisors is an integer number (422024148).

Almost surely, 210117750005 is an apocalyptic number.

10117750005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10117750005 is an abundant number, since it is smaller than the sum of its proper divisors (10139409099).

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

10117750005 is a wasteful number, since it uses less digits than its factorization.

10117750005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202386 (or 1202383 counting only the distinct ones).

The product of its (nonzero) digits is 1225, while the sum is 27.

The spelling of 10117750005 in words is "ten billion, one hundred seventeen million, seven hundred fifty thousand, five".

Divisors: 1 3 5 9 11 15 17 33 45 51 55 85 99 153 165 187 255 495 561 765 935 1683 2805 8415 1202347 3607041 6011735 10821123 13225817 18035205 20439899 39677451 54105615 61319697 66129085 102199495 119032353 183959091 198387255 224838889 306598485 595161765 674516667 919795455 1124194445 2023550001 3372583335 10117750005