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100331101049 is a prime number
BaseRepresentation
bin101110101110000110…
…0110001101101111001
3100120222020200000111112
41131130030301231321
53120434230213144
6114031431410105
710151204200454
oct1353414615571
9316866600445
10100331101049
1139606322233
1217540823935
1395cc2a971a
144bdb00c49b
15292333d99e
hex175c331b79

100331101049 has 2 divisors, whose sum is σ = 100331101050. Its totient is φ = 100331101048.

The previous prime is 100331101027. The next prime is 100331101051. The reversal of 100331101049 is 940101133001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97410779449 + 2920321600 = 312107^2 + 54040^2 .

It is an emirp because it is prime and its reverse (940101133001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100331101049 - 224 = 100314323833 is a prime.

Together with 100331101051, 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 (100331101249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50165550524 + 50165550525.

It is an arithmetic number, because the mean of its divisors is an integer number (50165550525).

Almost surely, 2100331101049 is an apocalyptic number.

It is an amenable number.

100331101049 is a deficient number, since it is larger than the sum of its proper divisors (1).

100331101049 is an equidigital number, since it uses as much as digits as its factorization.

100331101049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 23.

The spelling of 100331101049 in words is "one hundred billion, three hundred thirty-one million, one hundred one thousand, forty-nine".