Search a number
-
+
122133023322 = 23731571776067
BaseRepresentation
bin111000110111110110…
…0100000101001011010
3102200020122211102102020
41301233230200221122
54000112023221242
6132035050315310
711552366366202
oct1615754405132
9380218742366
10122133023322
11478839a9112
121b806128b36
13b69509834b
145ca874b402
15329c3926ec
hex1c6fb20a5a

122133023322 has 32 divisors (see below), whose sum is σ = 249189444672. Its totient is φ = 39897546624.

The previous prime is 122133023273. The next prime is 122133023431. The reversal of 122133023322 is 223320331221.

It is a junction number, because it is equal to n+sod(n) for n = 122133023292 and 122133023301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 819268 + ... + 956799.

It is an arithmetic number, because the mean of its divisors is an integer number (7787170146).

Almost surely, 2122133023322 is an apocalyptic number.

122133023322 is an abundant number, since it is smaller than the sum of its proper divisors (127056421350).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122133023322 is a wasteful number, since it uses less digits than its factorization.

122133023322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776302.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 122133023322 its reverse (223320331221), we get a palindrome (345453354543).

The spelling of 122133023322 in words is "one hundred twenty-two billion, one hundred thirty-three million, twenty-three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 73 146 157 219 314 438 471 942 11461 22922 34383 68766 1776067 3552134 5328201 10656402 129652891 259305782 278842519 388958673 557685038 777917346 836527557 1673055114 20355503887 40711007774 61066511661 122133023322