Search a number
-
+
100330233313 is a prime number
BaseRepresentation
bin101110101110000100…
…1011101110111100001
3100120222012000221012011
41131130021131313201
53120434014431223
6114031401032521
710151163624562
oct1353411356741
9316865027164
10100330233313
113960588a2a2
1217540485741
1395cc06477b
144bdac64169
15292321b80d
hex175c25dde1

100330233313 has 2 divisors, whose sum is σ = 100330233314. Its totient is φ = 100330233312.

The previous prime is 100330233271. The next prime is 100330233331. The reversal of 100330233313 is 313332033001.

Together with next prime (100330233331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97389557329 + 2940675984 = 312073^2 + 54228^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100330233313 is a prime.

It is not a weakly prime, because it can be changed into another prime (100330203313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50165116656 + 50165116657.

It is an arithmetic number, because the mean of its divisors is an integer number (50165116657).

Almost surely, 2100330233313 is an apocalyptic number.

It is an amenable number.

100330233313 is a deficient number, since it is larger than the sum of its proper divisors (1).

100330233313 is an equidigital number, since it uses as much as digits as its factorization.

100330233313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 22.

Adding to 100330233313 its reverse (313332033001), we get a palindrome (413662266314).

The spelling of 100330233313 in words is "one hundred billion, three hundred thirty million, two hundred thirty-three thousand, three hundred thirteen".