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10053315200 = 27525236007
BaseRepresentation
bin10010101110011100…
…10110101010000000
3221221122002022211102
421113032112222000
5131042122041300
64341325233532
7504062524565
oct112716265200
927848068742
1010053315200
11429991a565
121b46a028a8
13c42a66826
146b528086c
153dc8e00d5
hex257396a80

10053315200 has 96 divisors (see below), whose sum is σ = 24886457760. Its totient is φ = 4012968960.

The previous prime is 10053315199. The next prime is 10053315257. The reversal of 10053315200 is 251335001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1670597 + ... + 1676603.

It is an arithmetic number, because the mean of its divisors is an integer number (259233935).

Almost surely, 210053315200 is an apocalyptic number.

10053315200 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 10053315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12443228880).

10053315200 is an abundant number, since it is smaller than the sum of its proper divisors (14833142560).

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

10053315200 is an equidigital number, since it uses as much as digits as its factorization.

10053315200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6554 (or 6537 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The spelling of 10053315200 in words is "ten billion, fifty-three million, three hundred fifteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 523 640 800 1046 1600 2092 2615 3200 4184 5230 6007 8368 10460 12014 13075 16736 20920 24028 26150 30035 33472 41840 48056 52300 60070 66944 83680 96112 104600 120140 150175 167360 192224 209200 240280 300350 334720 384448 418400 480560 600700 768896 836800 961120 1201400 1673600 1922240 2402800 3141661 3844480 4805600 6283322 9611200 12566644 15708305 19222400 25133288 31416610 50266576 62833220 78541525 100533152 125666440 157083050 201066304 251332880 314166100 402132608 502665760 628332200 1005331520 1256664400 2010663040 2513328800 5026657600 10053315200