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202011000000 = 26356172233
BaseRepresentation
bin1011110000100011001…
…0110011110011000000
3201022102111100001212220
42330020302303303000
511302204304000000
6232445204451040
720411010111525
oct2741062636300
9638374301786
10202011000000
1178743a41277
12331990a9a80
1316084b482c4
149ac520114c
1553c4cab1a0
hex2f08cb3cc0

202011000000 has 588 divisors, whose sum is σ = 712758532824. Its totient is φ = 50483200000.

The previous prime is 202010999989. The next prime is 202011000053. The reversal of 202011000000 is 110202.

It is a happy number.

202011000000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 866999884 + ... + 867000116.

Almost surely, 2202011000000 is an apocalyptic number.

202011000000 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 202011000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356379266412).

202011000000 is an abundant number, since it is smaller than the sum of its proper divisors (510747532824).

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

202011000000 is an frugal number, since it uses more digits than its factorization.

202011000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 202011000000 its reverse (110202), we get a palindrome (202011110202).

It can be divided in two parts, 20201 and 1000000, that added together give a palindrome (1020201).

The spelling of 202011000000 in words is "two hundred two billion, eleven million", and thus it is an aban number.