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213103042433100 = 223352174642767809
BaseRepresentation
bin110000011101000011101011…
…001001010001000001001100
31000221112110012102122112201000
4300131003223021101001030
5210412440012330324400
62033122104115020300
762613121023321111
oct6035035311210114
91027473172575630
10213103042433100
11619a0546961166
121ba9896989a690
1391ba6b8b773b1
143a8a356b9a908
151998474ad7600
hexc1d0eb25104c

213103042433100 has 144 divisors (see below), whose sum is σ = 725386042634400. Its totient is φ = 53484685148160.

The previous prime is 213103042433081. The next prime is 213103042433173. The reversal of 213103042433100 is 1334240301312.

It is a happy number.

213103042433100 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 0 + 304 + 2 + 43 + 310 + 0 = 666.

It is a super-2 number, since 2×2131030424331002 (a number of 29 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 47 ways as a sum of consecutive naturals, for example, 2321338005 + ... + 2321429804.

It is an arithmetic number, because the mean of its divisors is an integer number (5037403073850).

Almost surely, 2213103042433100 is an apocalyptic number.

213103042433100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213103042433100 is an abundant number, since it is smaller than the sum of its proper divisors (512283000201300).

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

213103042433100 is a wasteful number, since it uses less digits than its factorization.

213103042433100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4642767849 (or 4642767836 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 213103042433100 its reverse (1334240301312), we get a palindrome (214437282734412).

The spelling of 213103042433100 in words is "two hundred thirteen trillion, one hundred three billion, forty-two million, four hundred thirty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 25 27 30 34 36 45 50 51 54 60 68 75 85 90 100 102 108 135 150 153 170 180 204 225 255 270 300 306 340 425 450 459 510 540 612 675 765 850 900 918 1020 1275 1350 1530 1700 1836 2295 2550 2700 3060 3825 4590 5100 7650 9180 11475 15300 22950 45900 4642767809 9285535618 13928303427 18571071236 23213839045 27856606854 41784910281 46427678090 55713213708 69641517135 78927052753 83569820562 92855356180 116069195225 125354730843 139283034270 157854105506 167139641124 208924551405 232138390450 236781158259 250709461686 278566068540 315708211012 348207585675 394635263765 417849102810 464276780900 473562316518 501418923372 626773654215 696415171350 710343474777 789270527530 835698205620 947124633036 1044622757025 1183905791295 1253547308430 1392830342700 1420686949554 1578541055060 1973176318825 2089245514050 2131030424331 2367811582590 2507094616860 2841373899108 3133868271075 3551717373885 3946352637650 4178491028100 4262060848662 4735623165180 5919528956475 6267736542150 7103434747770 7892705275300 8524121697324 10655152121655 11839057912950 12535473084300 14206869495540 17758586869425 21310304243310 23678115825900 35517173738850 42620608486620 53275760608275 71034347477700 106551521216550 213103042433100