Search a number
-
+
2032131213113 is a prime number
BaseRepresentation
bin11101100100100100011…
…101011000011100111001
321012021021201101121010012
4131210210131120130321
5231243301042304423
64153314224231305
7266550051211151
oct35444435303471
97167251347105
102032131213113
11713905101871
12289a1076b535
13119824325501
14704d9d8b761
1537cd8c87078
hex1d924758739

2032131213113 has 2 divisors, whose sum is σ = 2032131213114. Its totient is φ = 2032131213112.

The previous prime is 2032131213107. The next prime is 2032131213157. The reversal of 2032131213113 is 3113121312302.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2013342479929 + 18788733184 = 1418923^2 + 137072^2 .

It is a cyclic number.

It is not a de Polignac number, because 2032131213113 - 232 = 2027836245817 is a prime.

It is a super-2 number, since 2×20321312131132 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2032131213613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1016065606556 + 1016065606557.

It is an arithmetic number, because the mean of its divisors is an integer number (1016065606557).

Almost surely, 22032131213113 is an apocalyptic number.

It is an amenable number.

2032131213113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2032131213113 is an equidigital number, since it uses as much as digits as its factorization.

2032131213113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 2032131213113 its reverse (3113121312302), we get a palindrome (5145252525415).

The spelling of 2032131213113 in words is "two trillion, thirty-two billion, one hundred thirty-one million, two hundred thirteen thousand, one hundred thirteen".