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102232121321 = 11591015692741
BaseRepresentation
bin101111100110110000…
…0100101111111101001
3100202212201202212001202
41133031200211333221
53133332410340241
6114544221053545
710246256456561
oct1371540457751
9322781685052
10102232121321
113a3a1404970
12179913b72b5
1398430a97a5
144d3b69dda1
1529d519dd9b
hex17cd825fe9

102232121321 has 32 divisors (see below), whose sum is σ = 114782313600. Its totient is φ = 90266560000.

The previous prime is 102232121273. The next prime is 102232121323. The reversal of 102232121321 is 123121232201.

It is a cyclic number.

It is not a de Polignac number, because 102232121321 - 210 = 102232120297 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102232121293 and 102232121302.

It is not an unprimeable number, because it can be changed into a prime (102232121323) 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, 37296011 + ... + 37298751.

It is an arithmetic number, because the mean of its divisors is an integer number (3586947300).

Almost surely, 2102232121321 is an apocalyptic number.

102232121321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102232121321 is a deficient number, since it is larger than the sum of its proper divisors (12550192279).

102232121321 is a wasteful number, since it uses less digits than its factorization.

102232121321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3481.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 102232121321 its reverse (123121232201), we get a palindrome (225353353522).

The spelling of 102232121321 in words is "one hundred two billion, two hundred thirty-two million, one hundred twenty-one thousand, three hundred twenty-one".

Divisors: 1 11 59 101 569 649 1111 2741 5959 6259 30151 33571 57469 65549 161719 276841 369281 632159 1559629 1778909 3045251 3390671 16333619 17155919 37297381 92018111 157522529 179669809 1012199221 1732747819 9293829211 102232121321