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10378013025 = 352972236397
BaseRepresentation
bin10011010101001001…
…11110100101100001
3222210021001200111210
421222210332211201
5132223232404100
64433444500333
7515114440512
oct115244764541
928707050453
1010378013025
114446132876
1220176aa6a9
13c95101113
14706442a09
1540b17bc50
hex26a93e961

10378013025 has 48 divisors (see below), whose sum is σ = 17415663104. Its totient is φ = 5452462080.

The previous prime is 10378012973. The next prime is 10378013053. The reversal of 10378013025 is 52031087301.

10378013025 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 is not a de Polignac number, because 10378013025 - 220 = 10376964449 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10378012983 and 10378013001.

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 47 ways as a sum of consecutive naturals, for example, 1619127 + ... + 1625523.

Almost surely, 210378013025 is an apocalyptic number.

10378013025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10378013025 is a deficient number, since it is larger than the sum of its proper divisors (7037650079).

10378013025 is a wasteful number, since it uses less digits than its factorization.

10378013025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6730 (or 6725 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The spelling of 10378013025 in words is "ten billion, three hundred seventy-eight million, thirteen thousand, twenty-five".

Divisors: 1 3 5 15 25 75 97 223 291 485 669 1115 1455 2425 3345 5575 6397 7275 16725 19191 21631 31985 64893 95955 108155 159925 324465 479775 540775 620509 1426531 1622325 1861527 3102545 4279593 7132655 9307635 15512725 21397965 35663275 46538175 106989825 138373507 415120521 691867535 2075602605 3459337675 10378013025