Search a number
-
+
102333000213 = 343164762989
BaseRepresentation
bin101111101001110000…
…1011010101000010101
3100210010202121000220000
41133103201122220111
53134034222001323
6115002223201513
710251623102253
oct1372341325025
9323122530800
10102333000213
113a443346754
12179bb146299
13985ac6a342
144d4ac3d5d3
1529dde78e43
hex17d385aa15

102333000213 has 40 divisors (see below), whose sum is σ = 158045437440. Its totient is φ = 65918201760.

The previous prime is 102333000197. The next prime is 102333000227. The reversal of 102333000213 is 312000333201.

It is not a de Polignac number, because 102333000213 - 24 = 102333000197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102333000283) 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 39 ways as a sum of consecutive naturals, for example, 1593123 + ... + 1656111.

It is an arithmetic number, because the mean of its divisors is an integer number (3951135936).

Almost surely, 2102333000213 is an apocalyptic number.

It is an amenable number.

102333000213 is a deficient number, since it is larger than the sum of its proper divisors (55712437227).

102333000213 is an equidigital number, since it uses as much as digits as its factorization.

102333000213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63679 (or 63670 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 102333000213 its reverse (312000333201), we get a palindrome (414333333414).

The spelling of 102333000213 in words is "one hundred two billion, three hundred thirty-three million, two hundred thirteen", and thus it is an aban number.

Divisors: 1 3 9 27 31 81 93 279 647 837 1941 2511 5823 17469 20057 52407 60171 62989 180513 188967 541539 566901 1624617 1700703 1952659 5102109 5857977 17573931 40753883 52721793 122261649 158165379 366784947 1100354841 1263370373 3301064523 3790111119 11370333357 34111000071 102333000213