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10400103225 = 325246222681
BaseRepresentation
bin10011010111110010…
…01111101100111001
3222211210121222120100
421223321033230321
5132244411300400
64435554150013
7515503263441
oct115371175471
928753558510
1010400103225
114457650536
122022b82309
13c99866a45
14709353121
1540d092100
hex26be4fb39

10400103225 has 18 divisors (see below), whose sum is σ = 18627740846. Its totient is φ = 5546721600.

The previous prime is 10400103199. The next prime is 10400103229. The reversal of 10400103225 is 52230100401.

It can be written as a sum of positive squares in 3 ways, for example, as 645973056 + 9754130169 = 25416^2 + 98763^2 .

It is not a de Polignac number, because 10400103225 - 211 = 10400101177 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10400103198 and 10400103207.

It is not an unprimeable number, because it can be changed into a prime (10400103229) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 23111116 + ... + 23111565.

Almost surely, 210400103225 is an apocalyptic number.

10400103225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10400103225 is a deficient number, since it is larger than the sum of its proper divisors (8227637621).

10400103225 is a wasteful number, since it uses less digits than its factorization.

10400103225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46222697 (or 46222689 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 10400103225 its reverse (52230100401), we get a palindrome (62630203626).

The spelling of 10400103225 in words is "ten billion, four hundred million, one hundred three thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 46222681 138668043 231113405 416004129 693340215 1155567025 2080020645 3466701075 10400103225