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202131220200 = 233527133702037
BaseRepresentation
bin1011110000111111110…
…1011010011011101000
3201022201212112212222220
42330033331122123220
511302431043021300
6232505141314040
720414000010660
oct2741775323350
9638655485886
10202131220200
11787a5893508
1233211405920
13160a3a1b510
149ad71771a0
1553d0606da0
hex2f0ff5a6e8

202131220200 has 192 divisors, whose sum is σ = 771208556160. Its totient is φ = 42647454720.

The previous prime is 202131220199. The next prime is 202131220211. The reversal of 202131220200 is 2022131202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 202131220200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1796419 + ... + 1905618.

It is an arithmetic number, because the mean of its divisors is an integer number (4016711230).

Almost surely, 2202131220200 is an apocalyptic number.

202131220200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202131220200 is an abundant number, since it is smaller than the sum of its proper divisors (569077335960).

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

202131220200 is a wasteful number, since it uses less digits than its factorization.

202131220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3702076 (or 3702067 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 202131220200 its reverse (2022131202), we get a palindrome (204153351402).

The spelling of 202131220200 in words is "two hundred two billion, one hundred thirty-one million, two hundred twenty thousand, two hundred".