Search a number
-
+
999000100111101 = 31182875256769493
BaseRepresentation
bin1110001100100101011101011…
…0000110010000001011111101
311212000011110212122010000222120
43203021113112012100023331
52021420104201112023401
613500410151010433153
7420265242525330534
oct34311272606201375
94760143778100876
10999000100111101
1126a3486216a76a0
1294064ab42927b9
1333b573c774108a
1413899c1188d31b
157a7644275c836
hex38c95d61902fd

999000100111101 has 32 divisors (see below), whose sum is σ = 1453314959351808. Its totient is φ = 605361317739840.

The previous prime is 999000100111099. The next prime is 999000100111121. The reversal of 999000100111101 is 101111001000999.

999000100111101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 999000100111101 - 21 = 999000100111099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (999000100111121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14375515311 + ... + 14375584803.

It is an arithmetic number, because the mean of its divisors is an integer number (45416092479744).

Almost surely, 2999000100111101 is an apocalyptic number.

It is an amenable number.

999000100111101 is a deficient number, since it is larger than the sum of its proper divisors (454314859240707).

999000100111101 is a wasteful number, since it uses less digits than its factorization.

999000100111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130361.

The product of its (nonzero) digits is 729, while the sum is 33.

The spelling of 999000100111101 in words is "nine hundred ninety-nine trillion, one hundred million, one hundred eleven thousand, one hundred one".

Divisors: 1 3 11 33 8287 24861 52567 69493 91157 157701 208479 273471 578237 764423 1734711 2293269 435622729 575888491 1306868187 1727665473 3653038531 4791850019 6334773401 10959115593 14375550057 19004320203 40183423841 120550271523 30272730306397 90818190919191 333000033370367 999000100111101