Search a number
-
+
102320010001 = 1123217583779
BaseRepresentation
bin101111101001010111…
…1110111001100010001
3100210002212011001200001
41133102233313030101
53134022410310001
6115001040530001
710251404510026
oct1372257671421
9323085131601
10102320010001
113a436a83a40
12179b6920901
13985836c721
144d4921b54d
1529dcc60001
hex17d2bf7311

102320010001 has 12 divisors (see below), whose sum is σ = 116685964080. Its totient is φ = 88973916680.

The previous prime is 102320009999. The next prime is 102320010103. The reversal of 102320010001 is 100010023201.

It is not a de Polignac number, because 102320010001 - 21 = 102320009999 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102320010001.

It is not an unprimeable number, because it can be changed into a prime (102320010901) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8786071 + ... + 8797708.

It is an arithmetic number, because the mean of its divisors is an integer number (9723830340).

Almost surely, 2102320010001 is an apocalyptic number.

102320010001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102320010001 is a deficient number, since it is larger than the sum of its proper divisors (14365954079).

102320010001 is a wasteful number, since it uses less digits than its factorization.

102320010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17583836 (or 17583813 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 102320010001 its reverse (100010023201), we get a palindrome (202330033202).

The spelling of 102320010001 in words is "one hundred two billion, three hundred twenty million, ten thousand, one".

Divisors: 1 11 23 253 529 5819 17583779 193421569 404426917 4448696087 9301819091 102320010001