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101310222149 is a prime number
BaseRepresentation
bin101111001011010001…
…1110100111101000101
3100200111111001112010222
41132112203310331011
53124440404102044
6114312525354125
710214363452103
oct1362643647505
9320444045128
10101310222149
1139a68a85424
1217774708945
1397270b6416
144c91082c73
15297e2988ee
hex17968f4f45

101310222149 has 2 divisors, whose sum is σ = 101310222150. Its totient is φ = 101310222148.

The previous prime is 101310222077. The next prime is 101310222151. The reversal of 101310222149 is 941222013101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69165318049 + 32144904100 = 262993^2 + 179290^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101310222149 is a prime.

It is a super-2 number, since 2×1013102221492 (a number of 23 digits) contains 22 as substring.

Together with 101310222151, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101310222649) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50655111074 + 50655111075.

It is an arithmetic number, because the mean of its divisors is an integer number (50655111075).

Almost surely, 2101310222149 is an apocalyptic number.

It is an amenable number.

101310222149 is a deficient number, since it is larger than the sum of its proper divisors (1).

101310222149 is an equidigital number, since it uses as much as digits as its factorization.

101310222149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 26.

The spelling of 101310222149 in words is "one hundred one billion, three hundred ten million, two hundred twenty-two thousand, one hundred forty-nine".