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10057213800 = 2333521862447
BaseRepresentation
bin10010101110111010…
…01110011101101000
3221221220102101201000
421113131032131220
5131044121320200
64341544555000
7504140623014
oct112735163550
927856371630
1010057213800
1142a1042647
121b48182a60
13c438001aa
146b59b7544
153dce10300
hex25774e768

10057213800 has 96 divisors (see below), whose sum is σ = 34641532800. Its totient is φ = 2681922240.

The previous prime is 10057213769. The next prime is 10057213811. The reversal of 10057213800 is 831275001.

10057213800 is a `hidden beast` number, since 1 + 0 + 0 + 572 + 13 + 80 + 0 = 666.

It is a super-2 number, since 2×100572138002 (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 925824 + ... + 936623.

It is an arithmetic number, because the mean of its divisors is an integer number (360849300).

Almost surely, 210057213800 is an apocalyptic number.

10057213800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10057213800 is an abundant number, since it is smaller than the sum of its proper divisors (24584319000).

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

10057213800 is a wasteful number, since it uses less digits than its factorization.

10057213800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1862472 (or 1862457 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 10057213800 its reverse (831275001), we get a palindrome (10888488801).

The spelling of 10057213800 in words is "ten billion, fifty-seven million, two hundred thirteen thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 90 100 108 120 135 150 180 200 216 225 270 300 360 450 540 600 675 900 1080 1350 1800 2700 5400 1862447 3724894 5587341 7449788 9312235 11174682 14899576 16762023 18624470 22349364 27936705 33524046 37248940 44698728 46561175 50286069 55873410 67048092 74497880 83810115 93122350 100572138 111746820 134096184 139683525 167620230 186244700 201144276 223493640 251430345 279367050 335240460 372489400 402288552 419050575 502860690 558734100 670480920 838101150 1005721380 1117468200 1257151725 1676202300 2011442760 2514303450 3352404600 5028606900 10057213800