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10125004065 = 35111012412521
BaseRepresentation
bin10010110110111111…
…10100110100100001
3222010121222111110120
421123133310310201
5131214000112230
64352405550453
7505623054201
oct113337646441
928117874416
1010125004065
114326334460
121b66a15429
13c54876c87
146c09c2401
153e3d51310
hex25b7f4d21

10125004065 has 64 divisors (see below), whose sum is σ = 17928877824. Its totient is φ = 4838400000.

The previous prime is 10125004063. The next prime is 10125004067. The reversal of 10125004065 is 56040052101.

It is an interprime number because it is at equal distance from previous prime (10125004063) and next prime (10125004067).

It is not a de Polignac number, because 10125004065 - 21 = 10125004063 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10125004063) 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 63 ways as a sum of consecutive naturals, for example, 4015005 + ... + 4017525.

It is an arithmetic number, because the mean of its divisors is an integer number (280138716).

Almost surely, 210125004065 is an apocalyptic number.

10125004065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10125004065 is a deficient number, since it is larger than the sum of its proper divisors (7803873759).

10125004065 is a wasteful number, since it uses less digits than its factorization.

10125004065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2882.

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 10125004065 its reverse (56040052101), we get a palindrome (66165056166).

The spelling of 10125004065 in words is "ten billion, one hundred twenty-five million, four thousand, sixty-five".

Divisors: 1 3 5 11 15 33 55 101 165 241 303 505 723 1111 1205 1515 2521 2651 3333 3615 5555 7563 7953 12605 13255 16665 24341 27731 37815 39765 73023 83193 121705 138655 254621 267751 365115 415965 607561 763863 803253 1273105 1338755 1822683 2800831 3037805 3819315 4016265 6683171 8402493 9113415 14004155 20049513 33415855 42012465 61363661 100247565 184090983 306818305 675000271 920454915 2025000813 3375001355 10125004065