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2131120200 = 233521123101139
BaseRepresentation
bin111111100000110…
…0101000001001000
312111112002010022210
41333001211001020
513331031321300
6551245145120
7103545136266
oct17701450110
95445063283
102131120200
119a3a64170
124b585b1a0
1327c695991
1416306b436
15c7163050
hex7f065048

2131120200 has 384 divisors, whose sum is σ = 7649510400. Its totient is φ = 485760000.

The previous prime is 2131120163. The next prime is 2131120249. The reversal of 2131120200 is 20211312.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15331731 + ... + 15331869.

It is an arithmetic number, because the mean of its divisors is an integer number (19920600).

Almost surely, 22131120200 is an apocalyptic number.

2131120200 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 2131120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3824755200).

2131120200 is an abundant number, since it is smaller than the sum of its proper divisors (5518390200).

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

2131120200 is a wasteful number, since it uses less digits than its factorization.

2131120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 284 counting only the distinct ones).

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

The square root of 2131120200 is about 46164.0574473258. The cubic root of 2131120200 is about 1286.8738677948.

Adding to 2131120200 its reverse (20211312), we get a palindrome (2151331512).

The spelling of 2131120200 in words is "two billion, one hundred thirty-one million, one hundred twenty thousand, two hundred".