Search a number
-
+
102120233201 = 7312571831129
BaseRepresentation
bin101111100011011010…
…1110001100011110001
3100202120221020100102022
41133012311301203301
53133120234430301
6114525143001225
710243430442260
oct1370665614361
9322527210368
10102120233201
113a344233748
121795ba39215
139825b62bbc
144d2a8965d7
1529ca44bd1b
hex17c6d718f1

102120233201 has 16 divisors (see below), whose sum is σ = 120942474240. Its totient is φ = 84378378240.

The previous prime is 102120233107. The next prime is 102120233219. The reversal of 102120233201 is 102332021201.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102120233201 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 102120233201.

It is not an unprimeable number, because it can be changed into a prime (102120203201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 859796 + ... + 971333.

It is an arithmetic number, because the mean of its divisors is an integer number (7558904640).

Almost surely, 2102120233201 is an apocalyptic number.

It is an amenable number.

102120233201 is a deficient number, since it is larger than the sum of its proper divisors (18822241039).

102120233201 is a wasteful number, since it uses less digits than its factorization.

102120233201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1831424.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 102120233201 its reverse (102332021201), we get a palindrome (204452254402).

The spelling of 102120233201 in words is "one hundred two billion, one hundred twenty million, two hundred thirty-three thousand, two hundred one".

Divisors: 1 7 31 217 257 1799 7967 55769 1831129 12817903 56764999 397354993 470600153 3294201071 14588604743 102120233201