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201020102020000 = 255431834199323
BaseRepresentation
bin101101101101001110100011…
…110001100000101110100000
3222100202100000112112220102201
4231231032203301200232200
5202322003132104120000
61551311205432022544
760225136344365044
oct5555164361405640
9870670015486381
10201020102020000
115906216800940a
121a667061531a54
1388221641023c3
14378d5d3b0c024
151838eda4c496a
hexb6d3a3c60ba0

201020102020000 has 480 divisors, whose sum is σ = 517931592837120. Its totient is φ = 76685009280000.

The previous prime is 201020102019991. The next prime is 201020102020009. The reversal of 201020102020000 is 20201020102.

It is an interprime number because it is at equal distance from previous prime (201020102019991) and next prime (201020102020009).

It is a super-2 number, since 2×2010201020200002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (201020102020009) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 21561735339 + ... + 21561744661.

It is an arithmetic number, because the mean of its divisors is an integer number (1079024151744).

Almost surely, 2201020102020000 is an apocalyptic number.

201020102020000 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 201020102020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258965796418560).

201020102020000 is an abundant number, since it is smaller than the sum of its proper divisors (316911490817120).

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

201020102020000 is an equidigital number, since it uses as much as digits as its factorization.

201020102020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9886 (or 9863 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 201020102020000 its reverse (20201020102), we get a palindrome (201040303040102).

The spelling of 201020102020000 in words is "two hundred one trillion, twenty billion, one hundred two million, twenty thousand".