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2131213365 = 32547360297
BaseRepresentation
bin111111100000111…
…1011110000110101
312111112020212010100
41333001323300311
513331042311430
6551251144313
7103546005021
oct17701736065
95445225110
102131213365
119a4018166
124b58a5099
1327c6c91c8
14163093381
15c7180960
hex7f07bc35

2131213365 has 12 divisors (see below), whose sum is σ = 3694103244. Its totient is φ = 1136647104.

The previous prime is 2131213361. The next prime is 2131213367. The reversal of 2131213365 is 5633121312.

It can be written as a sum of positive squares in 2 ways, for example, as 300571569 + 1830641796 = 17337^2 + 42786^2 .

It is not a de Polignac number, because 2131213365 - 22 = 2131213361 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131213361) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 23680104 + ... + 23680193.

It is an arithmetic number, because the mean of its divisors is an integer number (307841937).

Almost surely, 22131213365 is an apocalyptic number.

It is an amenable number.

2131213365 is a deficient number, since it is larger than the sum of its proper divisors (1562889879).

2131213365 is a wasteful number, since it uses less digits than its factorization.

2131213365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47360308 (or 47360305 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 2131213365 is about 46165.0665005478. The cubic root of 2131213365 is about 1286.8926200386.

Adding to 2131213365 its reverse (5633121312), we get a palindrome (7764334677).

It can be divided in two parts, 2131 and 213365, that added together give a triangular number (215496 = T656).

The spelling of 2131213365 in words is "two billion, one hundred thirty-one million, two hundred thirteen thousand, three hundred sixty-five".

Divisors: 1 3 5 9 15 45 47360297 142080891 236801485 426242673 710404455 2131213365