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23100025 = 52131737113
BaseRepresentation
bin101100000011…
…1101001111001
31121110121021111
41120013221321
521403200100
62143040321
7400230004
oct130075171
947417244
1023100025
1112048433
1278a00a1
134a2a470
1430d453b
1520646ba
hex1607a79

23100025 has 48 divisors (see below), whose sum is σ = 33841584. Its totient is φ = 15482880.

The previous prime is 23100017. The next prime is 23100031. The reversal of 23100025 is 52000132.

It can be written as a sum of positive squares in 24 ways, for example, as 17842176 + 5257849 = 4224^2 + 2293^2 .

It is not a de Polignac number, because 23100025 - 23 = 23100017 is a prime.

It is a super-2 number, since 2×231000252 = 1067222310001250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 23099978 and 23100014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 204369 + ... + 204481.

It is an arithmetic number, because the mean of its divisors is an integer number (705033).

Almost surely, 223100025 is an apocalyptic number.

23100025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

23100025 is a deficient number, since it is larger than the sum of its proper divisors (10741559).

23100025 is a wasteful number, since it uses less digits than its factorization.

23100025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 23100025 is about 4806.2485370609. The cubic root of 23100025 is about 284.7983594740.

Adding to 23100025 its reverse (52000132), we get a palindrome (75100157).

The spelling of 23100025 in words is "twenty-three million, one hundred thousand, twenty-five".

Divisors: 1 5 13 17 25 37 65 85 113 185 221 325 425 481 565 629 925 1105 1469 1921 2405 2825 3145 4181 5525 7345 8177 9605 12025 15725 20905 24973 36725 40885 48025 54353 71077 104525 124865 204425 271765 355385 624325 924001 1358825 1776925 4620005 23100025