Search a number
-
+
2102330014131 = 318148714595449
BaseRepresentation
bin11110100101111100101…
…000100011100110110011
321102222110222211011201110
4132211330220203212303
5233421032440423011
64245444100204403
7304613461162464
oct36457450434663
97388428734643
102102330014131
11740658537aa6
1229b542099703
131233309c74a9
1473a79152d6b
1539a46a66ba6
hex1e97ca239b3

2102330014131 has 32 divisors (see below), whose sum is σ = 2826835648000. Its totient is φ = 1389739472640.

The previous prime is 2102330014117. The next prime is 2102330014177. The reversal of 2102330014131 is 1314100332012.

It is a de Polignac number, because none of the positive numbers 2k-2102330014131 is a prime.

It is a super-2 number, since 2×21023300141312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2102330014098 and 2102330014107.

It is not an unprimeable number, because it can be changed into a prime (2102330014231) 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 31 ways as a sum of consecutive naturals, for example, 385816695 + ... + 385822143.

It is an arithmetic number, because the mean of its divisors is an integer number (88338614000).

Almost surely, 22102330014131 is an apocalyptic number.

2102330014131 is a deficient number, since it is larger than the sum of its proper divisors (724505633869).

2102330014131 is a wasteful number, since it uses less digits than its factorization.

2102330014131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7579.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 2102330014131 its reverse (1314100332012), we get a palindrome (3416430346143).

The spelling of 2102330014131 in words is "two trillion, one hundred two billion, three hundred thirty million, fourteen thousand, one hundred thirty-one".

Divisors: 1 3 181 487 543 1459 1461 4377 5449 16347 88147 264079 264441 710533 792237 986269 2131599 2653663 2958807 7950091 7960989 23850273 128606473 385819419 480313003 1438966471 1440939009 3871694317 4316899413 11615082951 700776671377 2102330014131