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2111770116 = 2236232372
BaseRepresentation
bin111110111011111…
…0000111000000100
312110011200001000000
41331313300320010
513311103120431
6545314321300
7103221515121
oct17567607004
95404601000
102111770116
11994048165
124ab289230
1327867c321
14160671748
15c55de9e6
hex7ddf0e04

2111770116 has 189 divisors, whose sum is σ = 5953021221. Its totient is φ = 655120224.

The previous prime is 2111770081. The next prime is 2111770117. The reversal of 2111770116 is 6110771112.

The square root of 2111770116 is 45954.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1889640900 + 222129216 = 43470^2 + 14904^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 2111770116.

It is not an unprimeable number, because it can be changed into a prime (2111770117) 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 62 ways as a sum of consecutive naturals, for example, 57074850 + ... + 57074886.

Almost surely, 22111770116 is an apocalyptic number.

2111770116 is the 45954-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2111770116

2111770116 is an abundant number, since it is smaller than the sum of its proper divisors (3841251105).

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

2111770116 is an equidigital number, since it uses as much as digits as its factorization.

2111770116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 27.

The cubic root of 2111770116 is about 1282.9671797523.

The spelling of 2111770116 in words is "two billion, one hundred eleven million, seven hundred seventy thousand, one hundred sixteen".