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2131413345 = 34511346573
BaseRepresentation
bin111111100001010…
…1100100101100001
312111112122000110000
41333002230211201
513331120211340
6551255330213
7103550500035
oct17702544541
95445560400
102131413345
119a4144436
124b5980969
1327c769239
141631061c5
15c71bed30
hex7f0ac961

2131413345 has 40 divisors (see below), whose sum is σ = 3854650536. Its totient is φ = 1126669824.

The previous prime is 2131413343. The next prime is 2131413367. The reversal of 2131413345 is 5433141312.

It is a happy number.

2131413345 is a `hidden beast` number, since 2 + 1 + 314 + 1 + 3 + 345 = 666.

2131413345 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 265950864 + 1865462481 = 16308^2 + 43191^2 .

It is not a de Polignac number, because 2131413345 - 21 = 2131413343 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (2131413343) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22479 + ... + 69051.

Almost surely, 22131413345 is an apocalyptic number.

It is an amenable number.

2131413345 is a deficient number, since it is larger than the sum of its proper divisors (1723237191).

2131413345 is a wasteful number, since it uses less digits than its factorization.

2131413345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46703 (or 46694 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 2131413345 is about 46167.2323731887. The cubic root of 2131413345 is about 1286.9328701517.

Adding to 2131413345 its reverse (5433141312), we get a palindrome (7564554657).

The spelling of 2131413345 in words is "two billion, one hundred thirty-one million, four hundred thirteen thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 27 45 81 113 135 339 405 565 1017 1695 3051 5085 9153 15255 45765 46573 139719 232865 419157 698595 1257471 2095785 3772413 5262749 6287355 15788247 18862065 26313745 47364741 78941235 142094223 236823705 426282669 710471115 2131413345