Search a number
-
+
1001098016819 is a prime number
BaseRepresentation
bin11101001000101100001…
…01110111100000110011
310112201000020112110101122
432210112011313200303
5112400222043014234
62043521552452455
7132220066512155
oct16442605674063
93481006473348
101001098016819
1135662180620a
1214202984a12b
1373531903934
143664c1caad5
151b092d5992e
hexe916177833

1001098016819 has 2 divisors, whose sum is σ = 1001098016820. Its totient is φ = 1001098016818.

The previous prime is 1001098016797. The next prime is 1001098016887. The reversal of 1001098016819 is 9186108901001.

1001098016819 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is an emirp because it is prime and its reverse (9186108901001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1001098016819 - 232 = 996803049523 is a prime.

It is a super-2 number, since 2×10010980168192 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1001098016819.

It is not a weakly prime, because it can be changed into another prime (1001098013819) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500549008409 + 500549008410.

It is an arithmetic number, because the mean of its divisors is an integer number (500549008410).

Almost surely, 21001098016819 is an apocalyptic number.

1001098016819 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001098016819 is an equidigital number, since it uses as much as digits as its factorization.

1001098016819 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 31104, while the sum is 44.

The spelling of 1001098016819 in words is "one trillion, one billion, ninety-eight million, sixteen thousand, eight hundred nineteen".