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10011113320 = 23513149129209
BaseRepresentation
bin10010101001011010…
…10111011101101000
3221211200200020201211
421110231113131220
5131000321111240
64333220522504
7503041026205
oct112455273550
927750606654
1010011113320
11427801567a
121b34850434
13c370ab9c0
146ad816cac
153d8d55bea
hex254b57768

10011113320 has 64 divisors (see below), whose sum is σ = 24420690000. Its totient is φ = 3671574528.

The previous prime is 10011113293. The next prime is 10011113339. The reversal of 10011113320 is 2331111001.

It can be written as a sum of positive squares in 8 ways, for example, as 3511876 + 10007601444 = 1874^2 + 100038^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 10011113320.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12876 + ... + 142084.

Almost surely, 210011113320 is an apocalyptic number.

10011113320 is a gapful number since it is divisible by the number (10) 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 10011113320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12210345000).

10011113320 is an abundant number, since it is smaller than the sum of its proper divisors (14409576680).

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

10011113320 is a wasteful number, since it uses less digits than its factorization.

10011113320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129382 (or 129378 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 10011113320 its reverse (2331111001), we get a palindrome (12342224321).

The spelling of 10011113320 in words is "ten billion, eleven million, one hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 149 260 298 520 596 745 1192 1490 1937 2980 3874 5960 7748 9685 15496 19370 38740 77480 129209 258418 516836 646045 1033672 1292090 1679717 2584180 3359434 5168360 6718868 8398585 13437736 16797170 19252141 33594340 38504282 67188680 77008564 96260705 154017128 192521410 250277833 385042820 500555666 770085640 1001111332 1251389165 2002222664 2502778330 5005556660 10011113320