Search a number
-
+
100010110961 is a prime number
BaseRepresentation
bin101110100100100010…
…0010010111111110001
3100120010212200000212202
41131021010102333301
53114310042022321
6113535523432545
710140225626345
oct1351104227761
9316125600782
10100010110961
1139461111672
1217471225755
13957a93c967
144baa533625
15290508570b
hex1749112ff1

100010110961 has 2 divisors, whose sum is σ = 100010110962. Its totient is φ = 100010110960.

The previous prime is 100010110957. The next prime is 100010111029. The reversal of 100010110961 is 169011010001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100002045361 + 8065600 = 316231^2 + 2840^2 .

It is an emirp because it is prime and its reverse (169011010001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100010110961 - 22 = 100010110957 is a prime.

It is not a weakly prime, because it can be changed into another prime (100010110861) 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, 50005055480 + 50005055481.

It is an arithmetic number, because the mean of its divisors is an integer number (50005055481).

Almost surely, 2100010110961 is an apocalyptic number.

It is an amenable number.

100010110961 is a deficient number, since it is larger than the sum of its proper divisors (1).

100010110961 is an equidigital number, since it uses as much as digits as its factorization.

100010110961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 20.

Adding to 100010110961 its reverse (169011010001), we get a palindrome (269021120962).

The spelling of 100010110961 in words is "one hundred billion, ten million, one hundred ten thousand, nine hundred sixty-one".