Search a number
-
+
3102214122013 = 4579901685609
BaseRepresentation
bin101101001001001010010…
…111101110101000011101
3101222120100122011200002211
4231021022113232220131
5401311313303401023
610333045410520421
7440061520646566
oct55111227565035
911876318150084
103102214122013
11a96706aa7486
12421291296111
131966cac76ac6
14aa21002d16d
1555a68039a0d
hex2d24a5eea1d

3102214122013 has 8 divisors (see below), whose sum is σ = 3109320880760. Its totient is φ = 3095108755200.

The previous prime is 3102214121983. The next prime is 3102214122041.

3102214122013 is nontrivially palindromic in base 10.

3102214122013 is digitally balanced in base 3, 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 2840108008644 + 262106113369 = 1685262^2 + 511963^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3102214122013 - 213 = 3102214113821 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 (3102214122313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4181953 + ... + 4867561.

It is an arithmetic number, because the mean of its divisors is an integer number (388665110095).

Almost surely, 23102214122013 is an apocalyptic number.

It is an amenable number.

3102214122013 is a deficient number, since it is larger than the sum of its proper divisors (7106758747).

3102214122013 is an equidigital number, since it uses as much as digits as its factorization.

3102214122013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695967.

The product of its (nonzero) digits is 576, while the sum is 22.

The spelling of 3102214122013 in words is "three trillion, one hundred two billion, two hundred fourteen million, one hundred twenty-two thousand, thirteen".

Divisors: 1 457 9901 685609 4524757 313323313 6788214709 3102214122013