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3102030302013 = 327313734463557
BaseRepresentation
bin101101001000111111011…
…010100000101100111101
3101222112212211021122110200
4231020333122200230331
5401310424224131023
610333015242554113
7440054126341326
oct55107732405475
911875784248420
103102030302013
11a96622265825
1242123b808939
1319669bb66286
14aa1d385d44d
1555a56d29743
hex2d23f6a0b3d

3102030302013 has 24 divisors (see below), whose sum is σ = 4575244105848. Its totient is φ = 2024802842112.

The previous prime is 3102030302011. The next prime is 3102030302017.

3102030302013 is a `hidden beast` number, since 310 + 20 + 30 + 302 + 0 + 1 + 3 = 666.

3102030302013 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 640212817689 + 2461817484324 = 800133^2 + 1569018^2 .

It is not a de Polignac number, because 3102030302013 - 21 = 3102030302011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3102030302011) 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 23 ways as a sum of consecutive naturals, for example, 17141770 + ... + 17321787.

It is an arithmetic number, because the mean of its divisors is an integer number (190635171077).

Almost surely, 23102030302013 is an apocalyptic number.

It is an amenable number.

3102030302013 is a deficient number, since it is larger than the sum of its proper divisors (1473213803835).

3102030302013 is a wasteful number, since it uses less digits than its factorization.

3102030302013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34463773 (or 34463770 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

It can be divided in two parts, 3102030 and 302013, that added together give a palindrome (3404043).

The spelling of 3102030302013 in words is "three trillion, one hundred two billion, thirty million, three hundred two thousand, thirteen".

Divisors: 1 3 9 73 137 219 411 657 1233 10001 30003 90009 34463557 103390671 310172013 2515839661 4721507309 7547518983 14164521927 22642556949 42493565781 344670033557 1034010100671 3102030302013