Search a number
-
+
102323011221 = 32101112566569
BaseRepresentation
bin101111101001011101…
…1010011111010010101
3100210010001210112120100
41133102323103322111
53134024142324341
6115001225124313
710251442146654
oct1372273237225
9323101715510
10102323011221
113a438743892
12179b7929699
139858b807b2
144d4979d19b
1529dd1543b6
hex17d2ed3e95

102323011221 has 12 divisors (see below), whose sum is σ = 149263271820. Its totient is φ = 67539940800.

The previous prime is 102323011211. The next prime is 102323011249. The reversal of 102323011221 is 122110323201.

102323011221 is a `hidden beast` number, since 10 + 232 + 301 + 122 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 81973988721 + 20349022500 = 286311^2 + 142650^2 .

It is not a de Polignac number, because 102323011221 - 26 = 102323011157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102323011194 and 102323011203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102323011211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56282376 + ... + 56284193.

It is an arithmetic number, because the mean of its divisors is an integer number (12438605985).

Almost surely, 2102323011221 is an apocalyptic number.

It is an amenable number.

102323011221 is a deficient number, since it is larger than the sum of its proper divisors (46940260599).

102323011221 is a wasteful number, since it uses less digits than its factorization.

102323011221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112566676 (or 112566673 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102323011221 its reverse (122110323201), we get a palindrome (224433334422).

The spelling of 102323011221 in words is "one hundred two billion, three hundred twenty-three million, eleven thousand, two hundred twenty-one".

Divisors: 1 3 9 101 303 909 112566569 337699707 1013099121 11369223469 34107670407 102323011221