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10203344125 = 531319731873
BaseRepresentation
bin10011000000010101…
…01010110011111101
3222100002101120211021
421200022222303331
5131344024003000
64404245024141
7510563664652
oct114012526375
928302346737
1010203344125
114366581507
121b890b5051
13c67b75940
146cb175c29
153eab7811a
hex2602aacfd

10203344125 has 32 divisors (see below), whose sum is σ = 13783337568. Its totient is φ = 7496294400.

The previous prime is 10203344083. The next prime is 10203344141. The reversal of 10203344125 is 52144330201.

10203344125 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 7416137689 + 2787206436 = 86117^2 + 52794^2 .

It is a de Polignac number, because none of the positive numbers 2k-10203344125 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a self number, because there is not a number n which added to its sum of digits gives 10203344125.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 304189 + ... + 336061.

It is an arithmetic number, because the mean of its divisors is an integer number (430729299).

Almost surely, 210203344125 is an apocalyptic number.

It is an amenable number.

10203344125 is a deficient number, since it is larger than the sum of its proper divisors (3579993443).

10203344125 is a wasteful number, since it uses less digits than its factorization.

10203344125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32098 (or 32088 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 10203344125 its reverse (52144330201), we get a palindrome (62347674326).

The spelling of 10203344125 in words is "ten billion, two hundred three million, three hundred forty-four thousand, one hundred twenty-five".

Divisors: 1 5 13 25 65 125 197 325 985 1625 2561 4925 12805 24625 31873 64025 159365 320125 414349 796825 2071745 3984125 6278981 10358725 31394905 51793625 81626753 156974525 408133765 784872625 2040668825 10203344125