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10252430104 = 237717335323
BaseRepresentation
bin10011000110001011…
…11010101100011000
3222110111202102010111
421203011322230120
5131444110230404
64413201054104
7512031134530
oct114305725430
928414672114
1010252430104
114391258534
121ba1627334
13c750a0cb7
146d38b24c0
15400122104
hex26317ab18

10252430104 has 64 divisors (see below), whose sum is σ = 22584752640. Its totient is φ = 4272549120.

The previous prime is 10252430093. The next prime is 10252430107. The reversal of 10252430104 is 40103425201.

It is a super-2 number, since 2×102524301042 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10252430107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 272587 + ... + 307909.

It is an arithmetic number, because the mean of its divisors is an integer number (352886760).

Almost surely, 210252430104 is an apocalyptic number.

10252430104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10252430104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11292376320).

10252430104 is an abundant number, since it is smaller than the sum of its proper divisors (12332322536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10252430104 is a wasteful number, since it uses less digits than its factorization.

10252430104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35480 (or 35476 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 10252430104 its reverse (40103425201), we get a palindrome (50355855305).

The spelling of 10252430104 in words is "ten billion, two hundred fifty-two million, four hundred thirty thousand, one hundred four".

Divisors: 1 2 4 7 8 14 28 56 71 73 142 146 284 292 497 511 568 584 994 1022 1988 2044 3976 4088 5183 10366 20732 35323 36281 41464 70646 72562 141292 145124 247261 282584 290248 494522 989044 1978088 2507933 2578579 5015866 5157158 10031732 10314316 17555531 18050053 20063464 20628632 35111062 36100106 70222124 72200212 140444248 144400424 183079109 366158218 732316436 1281553763 1464632872 2563107526 5126215052 10252430104