Search a number
-
+
22312102122 = 2323803325943
BaseRepresentation
bin10100110001111001…
…111010100011101010
32010120222011020002200
4110301321322203222
5331143344231442
614130001441030
71416625511262
oct246171724352
963528136080
1022312102122
11950a666622
1243a8340176
1321476c93bb
1411193c47a2
158a8c2d34c
hex531e7a8ea

22312102122 has 24 divisors (see below), whose sum is σ = 48355748064. Its totient is φ = 7435388904.

The previous prime is 22312102093. The next prime is 22312102139. The reversal of 22312102122 is 22120121322.

It is a super-3 number, since 3×223121021223 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22312102095 and 22312102104.

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 11 ways as a sum of consecutive naturals, for example, 94518 + ... + 231425.

It is an arithmetic number, because the mean of its divisors is an integer number (2014822836).

Almost surely, 222312102122 is an apocalyptic number.

22312102122 is an abundant number, since it is smaller than the sum of its proper divisors (26043645942).

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

22312102122 is a wasteful number, since it uses less digits than its factorization.

22312102122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329754 (or 329751 counting only the distinct ones).

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

Adding to 22312102122 its reverse (22120121322), we get a palindrome (44432223444).

The spelling of 22312102122 in words is "twenty-two billion, three hundred twelve million, one hundred two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 3803 7606 11409 22818 34227 68454 325943 651886 977829 1955658 2933487 5866974 1239561229 2479122458 3718683687 7437367374 11156051061 22312102122