Search a number
-
+
999990100001 is a prime number
BaseRepresentation
bin11101000110101000000…
…11100000000000100001
310112121011000210110020102
432203110003200000201
5112340434431200001
62043220014152145
7132150454414034
oct16432403400041
93477130713212
10999990100001
11356103383982
1214197a7b2655
13733b6210659
1436584dcb01b
151b02a95ce6b
hexe8d40e0021

999990100001 has 2 divisors, whose sum is σ = 999990100002. Its totient is φ = 999990100000.

The previous prime is 999990099973. The next prime is 999990100013. The reversal of 999990100001 is 100001099999.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 522786841600 + 477203258401 = 723040^2 + 690799^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-999990100001 is a prime.

It is not a weakly prime, because it can be changed into another prime (999990100091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 499995050000 + 499995050001.

It is an arithmetic number, because the mean of its divisors is an integer number (499995050001).

Almost surely, 2999990100001 is an apocalyptic number.

It is an amenable number.

999990100001 is a deficient number, since it is larger than the sum of its proper divisors (1).

999990100001 is an equidigital number, since it uses as much as digits as its factorization.

999990100001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 59049, while the sum is 47.

The spelling of 999990100001 in words is "nine hundred ninety-nine billion, nine hundred ninety million, one hundred thousand, one".