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10513135530 = 2335376910331
BaseRepresentation
bin10011100101010000…
…11011011110101010
31000010200022121202000
421302220123132222
5133012330314110
64455112551430
7521345114622
oct116250333652
930120277660
1010513135530
114505433367
1220549b2576
13cb70c1371
1471a377882
15417e6d1c0
hex272a1b7aa

10513135530 has 64 divisors (see below), whose sum is σ = 28045180800. Its totient is φ = 2802487680.

The previous prime is 10513135517. The next prime is 10513135541. The reversal of 10513135530 is 3553131501.

10513135530 is a `hidden beast` number, since 10 + 513 + 135 + 5 + 3 + 0 = 666.

It is a super-2 number, since 2×105131355302 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10513135494 and 10513135503.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1012465 + ... + 1022795.

It is an arithmetic number, because the mean of its divisors is an integer number (438205950).

Almost surely, 210513135530 is an apocalyptic number.

10513135530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10513135530 is an abundant number, since it is smaller than the sum of its proper divisors (17532045270).

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

10513135530 is a wasteful number, since it uses less digits than its factorization.

10513135530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14116 (or 14110 counting only the distinct ones).

The product of its (nonzero) digits is 3375, while the sum is 27.

The spelling of 10513135530 in words is "ten billion, five hundred thirteen million, one hundred thirty-five thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 3769 7538 10331 11307 18845 20662 22614 30993 33921 37690 51655 56535 61986 67842 92979 101763 103310 113070 154965 169605 185958 203526 278937 309930 339210 464895 508815 557874 929790 1017630 1394685 2789370 38937539 77875078 116812617 194687695 233625234 350437851 389375390 584063085 700875702 1051313553 1168126170 1752189255 2102627106 3504378510 5256567765 10513135530