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221213023301100 = 223522903433758567
BaseRepresentation
bin110010010011000100101011…
…101011000110110111101100
31002000020202110221102220202210
4302103010223223012313230
5212443323232431113400
62102251505430450420
764411053636305355
oct6223045353066754
91060222427386683
10221213023301100
1164537a09707336
1220988695b03a10
1396583b5cca12c
143c8aaa5c7cd2c
151a893d2116950
hexc9312bac6dec

221213023301100 has 144 divisors (see below), whose sum is σ = 640422053365248. Its totient is φ = 58955215580160.

The previous prime is 221213023301071. The next prime is 221213023301141. The reversal of 221213023301100 is 1103320312122.

It is a super-2 number, since 2×2212130233011002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3777064017 + ... + 3777122583.

It is an arithmetic number, because the mean of its divisors is an integer number (4447375370592).

Almost surely, 2221213023301100 is an apocalyptic number.

221213023301100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221213023301100 is an abundant number, since it is smaller than the sum of its proper divisors (419209030064148).

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

221213023301100 is a wasteful number, since it uses less digits than its factorization.

221213023301100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65824 (or 65817 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 221213023301100 its reverse (1103320312122), we get a palindrome (222316343613222).

The spelling of 221213023301100 in words is "two hundred twenty-one trillion, two hundred thirteen billion, twenty-three million, three hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 2903 4337 5806 8674 8709 11612 13011 14515 17348 17418 21685 26022 29030 34836 43370 43545 52044 58060 58567 65055 72575 86740 87090 108425 117134 130110 145150 174180 175701 216850 217725 234268 260220 290300 292835 325275 351402 433700 435450 585670 650550 702804 870900 878505 1171340 1301100 1464175 1757010 2928350 3514020 4392525 5856700 8785050 12590311 17570100 25180622 37770933 50361244 62951555 75541866 125903110 151083732 170020001 188854665 251806220 254005079 314757775 340040002 377709330 508010158 510060003 629515550 680080004 755418660 762015237 850100005 944273325 1016020316 1020120006 1259031100 1270025395 1524030474 1700200010 1888546650 2040240012 2540050790 2550300015 3048060948 3400400020 3777093300 3810076185 4250500025 5080101580 5100600030 6350126975 7620152370 8501000050 10201200060 12700253950 12751500075 15240304740 17002000100 19050380925 25400507900 25503000150 38100761850 51006000300 76201523700 737376744337 1474753488674 2212130233011 2949506977348 3686883721685 4424260466022 7373767443370 8848520932044 11060651165055 14747534886740 18434418608425 22121302330110 36868837216850 44242604660220 55303255825275 73737674433700 110606511650550 221213023301100