Search a number
-
+
102322120221 = 3215053755273
BaseRepresentation
bin101111101001011011…
…1111010011000011101
3100210010000010021100100
41133102313322120131
53134023430321341
6115001154051313
710251431446206
oct1372267723035
9323100107310
10102322120221
113a438195422
12179b7579b39
13985892b089
144d4960a5ad
1529dd02a3b6
hex17d2dfa61d

102322120221 has 12 divisors (see below), whose sum is σ = 147808632348. Its totient is φ = 68210124864.

The previous prime is 102322120027. The next prime is 102322120223. The reversal of 102322120221 is 122021223201.

102322120221 is a `hidden beast` number, since 1 + 0 + 2 + 322 + 120 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 99862952121 + 2459168100 = 316011^2 + 49590^2 .

It is not a de Polignac number, because 102322120221 - 222 = 102317925917 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102322120194 and 102322120203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102322120223) 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, 242160 + ... + 513113.

It is an arithmetic number, because the mean of its divisors is an integer number (12317386029).

Almost surely, 2102322120221 is an apocalyptic number.

It is an amenable number.

102322120221 is a deficient number, since it is larger than the sum of its proper divisors (45486512127).

102322120221 is a wasteful number, since it uses less digits than its factorization.

102322120221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770332 (or 770329 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 102322120221 its reverse (122021223201), we get a palindrome (224343343422).

The spelling of 102322120221 in words is "one hundred two billion, three hundred twenty-two million, one hundred twenty thousand, two hundred twenty-one".

Divisors: 1 3 9 15053 45159 135477 755273 2265819 6797457 11369124469 34107373407 102322120221