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10130534144 = 28311276529
BaseRepresentation
bin10010110111101001…
…11010111100000000
3222011000101110022022
421123310322330000
5131221404043034
64353124301012
7506021055653
oct113364727400
928130343268
1010130534144
114329471275
121b68841768
13c55a62103
146c162189a
153e4594b2e
hex25bd3af00

10130534144 has 36 divisors (see below), whose sum is σ = 20873818560. Its totient is φ = 4901867520.

The previous prime is 10130534137. The next prime is 10130534179. The reversal of 10130534144 is 44143503101.

It is a happy number.

10130534144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 3 ways as a sum of consecutive naturals, for example, 630329 + ... + 646200.

Almost surely, 210130534144 is an apocalyptic number.

It is an amenable number.

10130534144 is an abundant number, since it is smaller than the sum of its proper divisors (10743284416).

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

10130534144 is an equidigital number, since it uses as much as digits as its factorization.

10130534144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276576 (or 1276562 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The spelling of 10130534144 in words is "ten billion, one hundred thirty million, five hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 992 1984 3968 7936 1276529 2553058 5106116 10212232 20424464 39572399 40848928 79144798 81697856 158289596 163395712 316579192 326791424 633158384 1266316768 2532633536 5065267072 10130534144