Search a number
-
+
10003319999 = 82920275953
BaseRepresentation
bin10010101000011111…
…01000110010111111
3221211011000022022022
421110033220302333
5130441322214444
64332341510355
7502614550151
oct112417506277
927734008268
1010003319999
114273682412
121b321123bb
13c355b067a
146ac788ad1
153d83169ee
hex2543e8cbf

10003319999 has 8 divisors (see below), whose sum is σ = 10022010960. Its totient is φ = 9984646656.

The previous prime is 10003319993. The next prime is 10003320029. The reversal of 10003319999 is 99991330001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10003319999 - 220 = 10002271423 is a prime.

It is a super-2 number, since 2×100033199992 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10003319993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1677407 + ... + 1683359.

It is an arithmetic number, because the mean of its divisors is an integer number (1252751370).

Almost surely, 210003319999 is an apocalyptic number.

10003319999 is a deficient number, since it is larger than the sum of its proper divisors (18690961).

10003319999 is an equidigital number, since it uses as much as digits as its factorization.

10003319999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8809.

The product of its (nonzero) digits is 59049, while the sum is 44.

The spelling of 10003319999 in words is "ten billion, three million, three hundred nineteen thousand, nine hundred ninety-nine".

Divisors: 1 829 2027 5953 1680383 4935037 12066731 10003319999