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202110010000 = 245420211001
BaseRepresentation
bin1011110000111010110…
…0100000001010010000
3201022200101122022001221
42330032230200022100
511302410130310000
6232503102534424
720413321511443
oct2741654401220
9638611568057
10202110010000
1178794916a18
1233206297414
131609c5032c2
149ad441565a
1553cd81761a
hex2f0eb20290

202110010000 has 50 divisors (see below), whose sum is σ = 489328569422. Its totient is φ = 80844000000.

The previous prime is 202110009991. The next prime is 202110010007. The reversal of 202110010000 is 10011202.

It can be written as a sum of positive squares in 5 ways, for example, as 50857466256 + 151252543744 = 225516^2 + 388912^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a super-2 number, since 2×2021100100002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (202110010007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10095501 + ... + 10115500.

Almost surely, 2202110010000 is an apocalyptic number.

202110010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202110010000 is an abundant number, since it is smaller than the sum of its proper divisors (287218559422).

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

202110010000 is an equidigital number, since it uses as much as digits as its factorization.

202110010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20211029 (or 20211008 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 202110010000 its reverse (10011202), we get a palindrome (202120021202).

The spelling of 202110010000 in words is "two hundred two billion, one hundred ten million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 20211001 40422002 80844004 101055005 161688008 202110010 323376016 404220020 505275025 808440040 1010550050 1616880080 2021100100 2526375125 4042200200 5052750250 8084400400 10105500500 12631875625 20211001000 25263751250 40422002000 50527502500 101055005000 202110010000