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202132400200 = 23524073248137
BaseRepresentation
bin1011110001000000000…
…1111010100001001000
3201022201221202211122121
42330100001322201020
511302431343301300
6232505222501024
720414013024133
oct2742001724110
9638657684577
10202132400200
11787a651a015
1233211894774
13160a4042643
149ad73a321a
1553d078b81a
hex2f1007a848

202132400200 has 48 divisors (see below), whose sum is σ = 470075108580. Its totient is φ = 80832783360.

The previous prime is 202132400143. The next prime is 202132400203. The reversal of 202132400200 is 2004231202.

It can be written as a sum of positive squares in 6 ways, for example, as 72288925956 + 129843474244 = 268866^2 + 360338^2 .

It is a super-2 number, since 2×2021324002002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (202132400203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 690532 + ... + 938668.

Almost surely, 2202132400200 is an apocalyptic number.

202132400200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202132400200 is an abundant number, since it is smaller than the sum of its proper divisors (267942708380).

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

202132400200 is a wasteful number, since it uses less digits than its factorization.

202132400200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252226 (or 252217 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 202132400200 its reverse (2004231202), we get a palindrome (204136631402).

The spelling of 202132400200 in words is "two hundred two billion, one hundred thirty-two million, four hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 4073 8146 16292 20365 32584 40730 81460 101825 162920 203650 248137 407300 496274 814600 992548 1240685 1985096 2481370 4962740 6203425 9925480 12406850 24813700 49627400 1010662001 2021324002 4042648004 5053310005 8085296008 10106620010 20213240020 25266550025 40426480040 50533100050 101066200100 202132400200