Search a number
-
+
101012222249 is a prime number
BaseRepresentation
bin101111000010011001…
…1000011000100101001
3100122201201022120010122
41132010303003010221
53123333112102444
6114223202253025
710204114502531
oct1360463030451
9318651276118
10101012222249
1139925847714
12176b0957175
1396aa438b13
144c636704c1
1529630324ee
hex1784cc3129

101012222249 has 2 divisors, whose sum is σ = 101012222250. Its totient is φ = 101012222248.

The previous prime is 101012222219. The next prime is 101012222251. The reversal of 101012222249 is 942222210101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75561763225 + 25450459024 = 274885^2 + 159532^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101012222249 is a prime.

Together with 101012222251, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (101012222219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50506111124 + 50506111125.

It is an arithmetic number, because the mean of its divisors is an integer number (50506111125).

Almost surely, 2101012222249 is an apocalyptic number.

It is an amenable number.

101012222249 is a deficient number, since it is larger than the sum of its proper divisors (1).

101012222249 is an equidigital number, since it uses as much as digits as its factorization.

101012222249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 26.

The spelling of 101012222249 in words is "one hundred one billion, twelve million, two hundred twenty-two thousand, two hundred forty-nine".