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200100120000000 = 2935711213781
BaseRepresentation
bin101101011111110101110000…
…100100100111011000000000
3222020111101101102002000212120
4231133311300210213120000
5202211420021210000000
61545324420500324240
760101520340264323
oct5537656044473000
9866441342060776
10200100120000000
1158837a91160200
121a5388b13a3680
13878648b8c552c
14375ac7c9a07ba
1518200e3ace6a0
hexb5fd70927600

200100120000000 has 960 divisors, whose sum is σ = 732484506866112. Its totient is φ = 48505600000000.

The previous prime is 200100119999981. The next prime is 200100120000007. The reversal of 200100120000000 is 21001002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

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 (200100120000007) 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 95 ways as a sum of consecutive naturals, for example, 14519993110 + ... + 14520006890.

Almost surely, 2200100120000000 is an apocalyptic number.

200100120000000 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 200100120000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366242253433056).

200100120000000 is an abundant number, since it is smaller than the sum of its proper divisors (532384386866112).

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

200100120000000 is an frugal number, since it uses more digits than its factorization.

200100120000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13859 (or 13802 counting only the distinct ones).

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

Adding to 200100120000000 its reverse (21001002), we get a palindrome (200100141001002).

The spelling of 200100120000000 in words is "two hundred trillion, one hundred billion, one hundred twenty million", and thus it is an aban number.