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202143223100 = 225272133173363
BaseRepresentation
bin1011110001000010101…
…1001100110100111100
3201022202201010200212202
42330100223030310330
511302442131114400
6232510250451032
720414204021600
oct2742053146474
9638681120782
10202143223100
1178801641465
1233215433a78
13160a6361920
149ad89bd500
1553d16c84d5
hex2f10accd3c

202143223100 has 108 divisors (see below), whose sum is σ = 549518750424. Its totient is φ = 63974977920.

The previous prime is 202143223097. The next prime is 202143223141. The reversal of 202143223100 is 1322341202.

202143223100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2021432231002 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 1522982 + ... + 1650381.

It is an arithmetic number, because the mean of its divisors is an integer number (5088136578).

Almost surely, 2202143223100 is an apocalyptic number.

202143223100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202143223100 is an abundant number, since it is smaller than the sum of its proper divisors (347375527324).

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

202143223100 is a wasteful number, since it uses less digits than its factorization.

202143223100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3173404 (or 3173390 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 202143223100 its reverse (1322341202), we get a palindrome (203465564302).

The spelling of 202143223100 in words is "two hundred two billion, one hundred forty-three million, two hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 49 50 52 65 70 91 98 100 130 140 175 182 196 245 260 325 350 364 455 490 637 650 700 910 980 1225 1274 1300 1820 2275 2450 2548 3185 4550 4900 6370 9100 12740 15925 31850 63700 3173363 6346726 12693452 15866815 22213541 31733630 41253719 44427082 63467260 79334075 82507438 88854164 111067705 155494787 158668150 165014876 206268595 222135410 288776033 310989574 317336300 412537190 444270820 555338525 577552066 621979148 777473935 825074380 1031342975 1110677050 1155104132 1443880165 1554947870 2021432231 2062685950 2221354100 2887760330 3109895740 3887369675 4042864462 4125371900 5775520660 7219400825 7774739350 8085728924 10107161155 14438801650 15549478700 20214322310 28877603300 40428644620 50535805775 101071611550 202143223100