Search a number
-
+
100033331213 is a prime number
BaseRepresentation
bin101110100101001110…
…0111000000000001101
3100120012111100202002002
41131022130320000031
53114332013044323
6113542113242045
710140630200024
oct1351234700015
9316174322062
10100033331213
1139473231362
1217478b63325
1395826aca5a
144bad6598bb
152907120828
hex174a73800d

100033331213 has 2 divisors, whose sum is σ = 100033331214. Its totient is φ = 100033331212.

The previous prime is 100033331201. The next prime is 100033331219. The reversal of 100033331213 is 312133330001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54562886569 + 45470444644 = 233587^2 + 213238^2 .

It is a cyclic number.

It is not a de Polignac number, because 100033331213 - 216 = 100033265677 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100033331219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50016665606 + 50016665607.

It is an arithmetic number, because the mean of its divisors is an integer number (50016665607).

Almost surely, 2100033331213 is an apocalyptic number.

It is an amenable number.

100033331213 is a deficient number, since it is larger than the sum of its proper divisors (1).

100033331213 is an equidigital number, since it uses as much as digits as its factorization.

100033331213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 100033331213 its reverse (312133330001), we get a palindrome (412166661214).

The spelling of 100033331213 in words is "one hundred billion, thirty-three million, three hundred thirty-one thousand, two hundred thirteen".