Search a number
-
+
10000111009949 is a prime number
BaseRepresentation
bin1001000110000101010100…
…0100001000000010011101
31022102000000221010010211222
42101201111010020002131
52302320211404304244
633133553152223125
72051325034043414
oct221412504100235
938360027103758
1010000111009949
113206028a65485
121156108b3aaa5
13577011155498
14268017b8847b
151251d4a6ebee
hex9185510809d

10000111009949 has 2 divisors, whose sum is σ = 10000111009950. Its totient is φ = 10000111009948.

The previous prime is 10000111009901. The next prime is 10000111009961. The reversal of 10000111009949 is 94990011100001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7217319861049 + 2782791148900 = 2686507^2 + 1668170^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000111009949 - 236 = 9931391533213 is a prime.

It is a super-2 number, since 2×100001110099492 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10000111009549) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000055504974 + 5000055504975.

It is an arithmetic number, because the mean of its divisors is an integer number (5000055504975).

Almost surely, 210000111009949 is an apocalyptic number.

It is an amenable number.

10000111009949 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000111009949 is an equidigital number, since it uses as much as digits as its factorization.

10000111009949 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 35.

The spelling of 10000111009949 in words is "ten trillion, one hundred eleven million, nine thousand, nine hundred forty-nine".