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20101200000 = 2735572393
BaseRepresentation
bin10010101110000111…
…111111100010000000
31220212212221202112220
4102232013333202000
5312131401400000
613122342251040
71311061244430
oct225607774200
956785852486
1020101200000
118585670092
123a8ba26a80
131b8464b6ab
14d8990a2c0
157c9aab1a0
hex4ae1ff880

20101200000 has 384 divisors, whose sum is σ = 76303866240. Its totient is φ = 4592640000.

The previous prime is 20101199999. The next prime is 20101200001. The reversal of 20101200000 is 210102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20101199999) and next prime (20101200001).

It is a tau number, because it is divible by the number of its divisors (384).

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 (20101200001) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 8398804 + ... + 8401196.

It is an arithmetic number, because the mean of its divisors is an integer number (198707985).

Almost surely, 220101200000 is an apocalyptic number.

20101200000 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 20101200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38151933120).

20101200000 is an abundant number, since it is smaller than the sum of its proper divisors (56202666240).

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

20101200000 is an frugal number, since it uses more digits than its factorization.

20101200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2442 (or 2410 counting only the distinct ones).

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

Adding to 20101200000 its reverse (210102), we get a palindrome (20101410102).

The spelling of 20101200000 in words is "twenty billion, one hundred one million, two hundred thousand".