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2117050141 = 29211322277
BaseRepresentation
bin111111000101111…
…1001111100011101
312110112121021211111
41332023321330131
513313431101031
6550023422021
7103314425563
oct17613717435
95415537744
102117050141
11997024118
124b0bb4911
132797aa6bb
14161247a33
15c5cd41b1
hex7e2f9f1d

2117050141 has 12 divisors (see below), whose sum is σ = 2212071732. Its totient is φ = 2025868544.

The previous prime is 2117050063. The next prime is 2117050147. The reversal of 2117050141 is 1410507112.

It can be written as a sum of positive squares in 6 ways, for example, as 29474041 + 2087576100 = 5429^2 + 45690^2 .

It is not a de Polignac number, because 2117050141 - 211 = 2117048093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2117050147) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83895 + ... + 106171.

It is an arithmetic number, because the mean of its divisors is an integer number (184339311).

Almost surely, 22117050141 is an apocalyptic number.

It is an amenable number.

2117050141 is a deficient number, since it is larger than the sum of its proper divisors (95021591).

2117050141 is a wasteful number, since it uses less digits than its factorization.

2117050141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22448 (or 22419 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 22.

The square root of 2117050141 is about 46011.4131602149. The cubic root of 2117050141 is about 1284.0355506003.

Adding to 2117050141 its reverse (1410507112), we get a palindrome (3527557253).

The spelling of 2117050141 in words is "two billion, one hundred seventeen million, fifty thousand, one hundred forty-one".

Divisors: 1 29 113 841 3277 22277 95033 646033 2517301 18734957 73001729 2117050141