Search a number
-
+
3111414141113 = 291511216158427
BaseRepresentation
bin101101010001101110101…
…111000001000010111001
3102000110002210122001201222
4231101232233001002321
5401434134010003423
610341210335121425
7440535512554655
oct55215657010271
912013083561658
103111414141113
11a9a5a8193a53
1242301a373275
13197535cb9ca5
14aa843c2da65
1555e05a763c8
hex2d46ebc10b9

3111414141113 has 16 divisors (see below), whose sum is σ = 3240342092160. Its totient is φ = 2983932672000.

The previous prime is 3111414141083. The next prime is 3111414141151.

3111414141113 is nontrivially palindromic in base 10.

3111414141113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 3111414141113 - 232 = 3107119173817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3111414141413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53223806 + ... + 53282232.

It is an arithmetic number, because the mean of its divisors is an integer number (202521380760).

Almost surely, 23111414141113 is an apocalyptic number.

It is an amenable number.

3111414141113 is a deficient number, since it is larger than the sum of its proper divisors (128927951047).

3111414141113 is a wasteful number, since it uses less digits than its factorization.

3111414141113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70768.

The product of its digits is 576, while the sum is 26.

The spelling of 3111414141113 in words is "three trillion, one hundred eleven billion, four hundred fourteen million, one hundred forty-one thousand, one hundred thirteen".

Divisors: 1 29 151 4379 12161 58427 352669 1694383 1836311 8822477 53253019 255851833 710530747 20605391663 107290142797 3111414141113