Search a number
-
+
3102332332013 = 8101382956713
BaseRepresentation
bin101101001001010001011…
…010101010011111101101
3101222120122212121100201222
4231021101122222133231
5401312034034111023
610333105232313125
7440064454504265
oct55112132523755
911876585540658
103102332332013
11a967677a63a2
124213049a27a5
131967195c5055
14aa221a007a5
1555a735d9cc8
hex2d2516aa7ed

3102332332013 has 4 divisors (see below), whose sum is σ = 3102715296828. Its totient is φ = 3101949367200.

The previous prime is 3102332331997. The next prime is 3102332332031.

It is a happy number.

3102332332013 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 2696814271204 + 405518060809 = 1642198^2 + 636803^2 .

It is a cyclic number.

It is not a de Polignac number, because 3102332332013 - 24 = 3102332331997 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 (3102332332093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 191470256 + ... + 191486457.

It is an arithmetic number, because the mean of its divisors is an integer number (775678824207).

Almost surely, 23102332332013 is an apocalyptic number.

It is an amenable number.

3102332332013 is a deficient number, since it is larger than the sum of its proper divisors (382964815).

3102332332013 is an equidigital number, since it uses as much as digits as its factorization.

3102332332013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382964814.

The product of its (nonzero) digits is 5832, while the sum is 26.

The spelling of 3102332332013 in words is "three trillion, one hundred two billion, three hundred thirty-two million, three hundred thirty-two thousand, thirteen".

Divisors: 1 8101 382956713 3102332332013