Search a number
-
+
2000302113113 is a prime number
BaseRepresentation
bin11101000110111011010…
…011000000000101011001
321002020010111022210020122
4131012323103000011121
5230233104320104423
64130532012203025
7264342231265223
oct35067323000531
97066114283218
102000302113113
11701361438947
12283809169475
13116821021c25
146cb5aa53413
15370747a78c8
hex1d1bb4c0159

2000302113113 has 2 divisors, whose sum is σ = 2000302113114. Its totient is φ = 2000302113112.

The previous prime is 2000302113107. The next prime is 2000302113119. The reversal of 2000302113113 is 3113112030002.

It is a balanced prime because it is at equal distance from previous prime (2000302113107) and next prime (2000302113119).

It can be written as a sum of positive squares in only one way, i.e., 1513470773824 + 486831339289 = 1230232^2 + 697733^2 .

It is a cyclic number.

It is not a de Polignac number, because 2000302113113 - 28 = 2000302112857 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2000302113091 and 2000302113100.

It is not a weakly prime, because it can be changed into another prime (2000302113119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000151056556 + 1000151056557.

It is an arithmetic number, because the mean of its divisors is an integer number (1000151056557).

Almost surely, 22000302113113 is an apocalyptic number.

It is an amenable number.

2000302113113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2000302113113 is an equidigital number, since it uses as much as digits as its factorization.

2000302113113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 2000302113113 its reverse (3113112030002), we get a palindrome (5113414143115).

The spelling of 2000302113113 in words is "two trillion, three hundred two million, one hundred thirteen thousand, one hundred thirteen".