Search a number
-
+
999000000101 = 41443448312269
BaseRepresentation
bin11101000100110010000…
…10100100011001100101
310112111121000202011111202
432202121002210121211
5112331423000000401
62042533445012245
7132114102615305
oct16423102443145
93474530664452
10999000000101
113557455021a4
121417430b4085
137328905b71c
14364cd6d9605
151aebda8506b
hexe8990a4665

999000000101 has 16 divisors (see below), whose sum is σ = 1025988344640. Its totient is φ = 972137911680.

The previous prime is 999000000029. The next prime is 999000000139. The reversal of 999000000101 is 101000000999.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-999000000101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (999000000151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81418595 + ... + 81430863.

It is an arithmetic number, because the mean of its divisors is an integer number (64124271540).

Almost surely, 2999000000101 is an apocalyptic number.

It is an amenable number.

999000000101 is a deficient number, since it is larger than the sum of its proper divisors (26988344539).

999000000101 is a wasteful number, since it uses less digits than its factorization.

999000000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17236.

The product of its (nonzero) digits is 729, while the sum is 29.

The spelling of 999000000101 in words is "nine hundred ninety-nine billion, one hundred one", and thus it is an aban number.

Divisors: 1 41 443 4483 12269 18163 183803 503029 1985969 5435167 55001927 81424729 222841847 2255079007 24365853661 999000000101