Search a number
-
+
107079310801 is a prime number
BaseRepresentation
bin110001110111001101…
…1001001110111010001
3101020101112121121000001
41203232123021313101
53223244300421201
6121105213130001
710510345060411
oct1435633116721
9336345547001
10107079310801
1141459530091
1218904789901
13a136394148
14527b344641
152bba9bd301
hex18ee6c9dd1

107079310801 has 2 divisors, whose sum is σ = 107079310802. Its totient is φ = 107079310800.

The previous prime is 107079310769. The next prime is 107079310817. The reversal of 107079310801 is 108013970701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55424930625 + 51654380176 = 235425^2 + 227276^2 .

It is a cyclic number.

It is not a de Polignac number, because 107079310801 - 25 = 107079310769 is a prime.

It is a super-2 number, since 2×1070793108012 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (107079310901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53539655400 + 53539655401.

It is an arithmetic number, because the mean of its divisors is an integer number (53539655401).

Almost surely, 2107079310801 is an apocalyptic number.

It is an amenable number.

107079310801 is a deficient number, since it is larger than the sum of its proper divisors (1).

107079310801 is an equidigital number, since it uses as much as digits as its factorization.

107079310801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10584, while the sum is 37.

The spelling of 107079310801 in words is "one hundred seven billion, seventy-nine million, three hundred ten thousand, eight hundred one".