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10130403525 = 35211101121577
BaseRepresentation
bin10010110111101000…
…11011000011000101
3222011000010211010120
421123310123003011
5131221340403100
64353121412153
7506020003104
oct113364330305
928130124116
1010130403525
114329392120
121b6879a059
13c55a17818
146c15ca03b
153e456b0a0
hex25bd1b0c5

10130403525 has 48 divisors (see below), whose sum is σ = 18452622528. Its totient is φ = 4863040000.

The previous prime is 10130403509. The next prime is 10130403559. The reversal of 10130403525 is 52530403101.

10130403525 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10130403525 - 24 = 10130403509 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10130403495 and 10130403504.

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 47 ways as a sum of consecutive naturals, for example, 22537 + ... + 144113.

It is an arithmetic number, because the mean of its divisors is an integer number (384429636).

Almost surely, 210130403525 is an apocalyptic number.

10130403525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10130403525 is a deficient number, since it is larger than the sum of its proper divisors (8322219003).

10130403525 is a wasteful number, since it uses less digits than its factorization.

10130403525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121702 (or 121697 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

Adding to 10130403525 its reverse (52530403101), we get a palindrome (62660806626).

The spelling of 10130403525 in words is "ten billion, one hundred thirty million, four hundred three thousand, five hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 75 101 165 275 303 505 825 1111 1515 2525 3333 5555 7575 16665 27775 83325 121577 364731 607885 1337347 1823655 3039425 4012041 6686735 9118275 12279277 20060205 33433675 36837831 61396385 100301025 135072047 184189155 306981925 405216141 675360235 920945775 2026080705 3376801175 10130403525