Search a number
-
+
100110011100019 is a prime number
BaseRepresentation
bin10110110000110010101101…
…101001100110101101110011
3111010110102102210121110000121
4112300302231221212231303
5101110200300320200034
6552525523150231111
730041465254103254
oct2660625551465563
9433412383543017
10100110011100019
1129997465448958
12b289ba81b5497
1343b2444a2b2bb
141aa14c9684b2b
15b8915785b1b4
hex5b0cada66b73

100110011100019 has 2 divisors, whose sum is σ = 100110011100020. Its totient is φ = 100110011100018.

The previous prime is 100110011100007. The next prime is 100110011100023. The reversal of 100110011100019 is 910001110011001.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100110011100019 is a prime.

It is a super-2 number, since 2×1001100111000192 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100110011099975 and 100110011100011.

It is not a weakly prime, because it can be changed into another prime (100110011100059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055005550009 + 50055005550010.

It is an arithmetic number, because the mean of its divisors is an integer number (50055005550010).

Almost surely, 2100110011100019 is an apocalyptic number.

100110011100019 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110011100019 is an equidigital number, since it uses as much as digits as its factorization.

100110011100019 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9, while the sum is 16.

The spelling of 100110011100019 in words is "one hundred trillion, one hundred ten billion, eleven million, one hundred thousand, nineteen".