Search a number
-
+
10265041025 = 523491176509
BaseRepresentation
bin10011000111101100…
…00001100010000001
3222111101111010001122
421203312001202001
5132010322303100
64414331242025
7512243260211
oct114366014201
928441433048
1010265041025
114398391288
121ba58a9315
13c77898095
146d5436241
154012b3985
hex263d81881

10265041025 has 12 divisors (see below), whose sum is σ = 12765133500. Its totient is φ = 8188495680.

The previous prime is 10265041009. The next prime is 10265041069. The reversal of 10265041025 is 52014056201.

It can be written as a sum of positive squares in 6 ways, for example, as 857786944 + 9407254081 = 29288^2 + 96991^2 .

It is not a de Polignac number, because 10265041025 - 24 = 10265041009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10265040985 and 10265041003.

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 11 ways as a sum of consecutive naturals, for example, 579530 + ... + 596979.

It is an arithmetic number, because the mean of its divisors is an integer number (1063761125).

Almost surely, 210265041025 is an apocalyptic number.

It is an amenable number.

10265041025 is a deficient number, since it is larger than the sum of its proper divisors (2500092475).

10265041025 is a wasteful number, since it uses less digits than its factorization.

10265041025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176868 (or 1176863 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

Adding to 10265041025 its reverse (52014056201), we get a palindrome (62279097226).

The spelling of 10265041025 in words is "ten billion, two hundred sixty-five million, forty-one thousand, twenty-five".

Divisors: 1 5 25 349 1745 8725 1176509 5882545 29412725 410601641 2053008205 10265041025