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2140116300 = 2232527192941
BaseRepresentation
bin111111110001111…
…1001010101001100
312112011000011122200
41333203321111030
513340332210200
6552210041500
7104014455060
oct17743712514
95464004580
102140116300
119a9049063
124b8879290
132814c560a
1416432daa0
15c7d3d800
hex7f8f954c

2140116300 has 324 divisors, whose sum is σ = 8099700336. Its totient is φ = 462931200.

The previous prime is 2140116269. The next prime is 2140116331. The reversal of 2140116300 is 36110412.

It is a happy number.

2140116300 is a `hidden beast` number, since 21 + 4 + 0 + 11 + 630 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2140116269) and next prime (2140116331).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2273830 + ... + 2274770.

Almost surely, 22140116300 is an apocalyptic number.

2140116300 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 2140116300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4049850168).

2140116300 is an abundant number, since it is smaller than the sum of its proper divisors (5959584036).

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

2140116300 is a wasteful number, since it uses less digits than its factorization.

2140116300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2140116300 is about 46261.3910296697. The cubic root of 2140116300 is about 1288.6820865136.

Adding to 2140116300 its reverse (36110412), we get a palindrome (2176226712).

The spelling of 2140116300 in words is "two billion, one hundred forty million, one hundred sixteen thousand, three hundred".