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2120131000200 = 2335241234736721
BaseRepresentation
bin11110110110100001101…
…001111011011110001000
321111200102120111221221210
4132312201221323132020
5234214012014001300
64301550313133120
7306113552105163
oct36664151733610
97450376457853
102120131000200
11748162750334
122a2a8b6ba1a0
13124c09927545
1474887376ada
153a23970d050
hex1eda1a7b788

2120131000200 has 192 divisors, whose sum is σ = 6735760758720. Its totient is φ = 551328768000.

The previous prime is 2120131000181. The next prime is 2120131000201. The reversal of 2120131000200 is 20001310212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2120131000201) 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 47 ways as a sum of consecutive naturals, for example, 57717840 + ... + 57754560.

It is an arithmetic number, because the mean of its divisors is an integer number (35082087285).

Almost surely, 22120131000200 is an apocalyptic number.

2120131000200 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 2120131000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3367880379360).

2120131000200 is an abundant number, since it is smaller than the sum of its proper divisors (4615629758520).

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

2120131000200 is a wasteful number, since it uses less digits than its factorization.

2120131000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39128 (or 39119 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 2120131000200 its reverse (20001310212), we get a palindrome (2140132310412).

The spelling of 2120131000200 in words is "two trillion, one hundred twenty billion, one hundred thirty-one million, two hundred", and thus it is an aban number.