Search a number
-
+
100222071149 is a prime number
BaseRepresentation
bin101110101010110110…
…0110111000101101101
3100120200122111201121002
41131111230313011231
53120223322234044
6114012534450045
710145411356154
oct1352554670555
9316618451532
10100222071149
113955a823482
1217510203925
1395b2823aa5
144bca74a59b
1529189a374e
hex1755b3716d

100222071149 has 2 divisors, whose sum is σ = 100222071150. Its totient is φ = 100222071148.

The previous prime is 100222071121. The next prime is 100222071193. The reversal of 100222071149 is 941170222001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100057077124 + 164994025 = 316318^2 + 12845^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100222071149 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100222071449) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50111035574 + 50111035575.

It is an arithmetic number, because the mean of its divisors is an integer number (50111035575).

Almost surely, 2100222071149 is an apocalyptic number.

It is an amenable number.

100222071149 is a deficient number, since it is larger than the sum of its proper divisors (1).

100222071149 is an equidigital number, since it uses as much as digits as its factorization.

100222071149 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2016, while the sum is 29.

The spelling of 100222071149 in words is "one hundred billion, two hundred twenty-two million, seventy-one thousand, one hundred forty-nine".