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202011000000000 = 29359172233
BaseRepresentation
bin101101111011101001011001…
…111001010100111000000000
3222111021001200220220210202220
4231323221121321110320000
5202434222012000000000
61553350323334411040
760356545620265452
oct5573513171247000
9874231626823686
10202011000000000
11594044250a1a24
121a7a7103200a80
13889472b74a899
1437c55553842d2
151854b82b0b1a0
hexb7ba59e54e00

202011000000000 has 1200 divisors, whose sum is σ = 717678383540976. Its totient is φ = 50483200000000.

The previous prime is 202010999999999. The next prime is 202011000000001. The reversal of 202011000000000 is 110202.

It is a happy number.

202011000000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (202010999999999) and next prime (202011000000001).

It is a tau number, because it is divible by the number of its divisors (1200).

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202011000000001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 866999999884 + ... + 867000000116.

Almost surely, 2202011000000000 is an apocalyptic number.

202011000000000 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 202011000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358839191770488).

202011000000000 is an abundant number, since it is smaller than the sum of its proper divisors (515667383540976).

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

202011000000000 is an frugal number, since it uses more digits than its factorization.

202011000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 260 counting only the distinct ones).

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

Adding to 202011000000000 its reverse (110202), we get a palindrome (202011000110202).

The spelling of 202011000000000 in words is "two hundred two trillion, eleven billion", and thus it is an aban number.