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202143375000 = 2332567219193
BaseRepresentation
bin1011110001000010101…
…1110001111010011000
3201022202201102102020200
42330100223301322120
511302442201000000
6232510254022200
720414205223500
oct2742053617230
9638681372220
10202143375000
11788017355a6
12332154a7960
13160a63b5ac8
149ad8a1ca00
1553d1708500
hex2f10af1e98

202143375000 has 1008 divisors, whose sum is σ = 842297812200. Its totient is φ = 43545600000.

The previous prime is 202143374963. The next prime is 202143375013. The reversal of 202143375000 is 573341202.

202143375000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 251 ways as a sum of consecutive naturals, for example, 1047374904 + ... + 1047375096.

Almost surely, 2202143375000 is an apocalyptic number.

202143375000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202143375000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421148906100).

202143375000 is an abundant number, since it is smaller than the sum of its proper divisors (640154437200).

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

202143375000 is a wasteful number, since it uses less digits than its factorization.

202143375000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The spelling of 202143375000 in words is "two hundred two billion, one hundred forty-three million, three hundred seventy-five thousand".