Search a number
-
+
12022101321102 = 232667894517839
BaseRepresentation
bin1010111011110001110100…
…0101000010010110001110
31120120022010220121112200200
42232330131011002112032
53033432230414233402
641322513242034330
72350365610105005
oct256743505022616
946508126545620
1012022101321102
1139155a9864534
121421b694a89a6
136928aa528792
142d7c30db5c3c
1515cac83b521c
hexaef1d14258e

12022101321102 has 12 divisors (see below), whose sum is σ = 26047886195760. Its totient is φ = 4007367107028.

The previous prime is 12022101321047. The next prime is 12022101321103. The reversal of 12022101321102 is 20112310122021.

12022101321102 is a `hidden beast` number, since 1 + 20 + 221 + 0 + 1 + 321 + 102 = 666.

12022101321102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 667894517839 = 12022101321102 / (1 + 2 + 0 + 2 + 2 + 1 + 0 + 1 + 3 + 2 + 1 + 1 + 0 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12022101321103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 333947258902 + ... + 333947258937.

It is an arithmetic number, because the mean of its divisors is an integer number (2170657182980).

Almost surely, 212022101321102 is an apocalyptic number.

12022101321102 is an abundant number, since it is smaller than the sum of its proper divisors (14025784874658).

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

12022101321102 is a wasteful number, since it uses less digits than its factorization.

12022101321102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667894517847 (or 667894517844 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12022101321102 its reverse (20112310122021), we get a palindrome (32134411443123).

The spelling of 12022101321102 in words is "twelve trillion, twenty-two billion, one hundred one million, three hundred twenty-one thousand, one hundred two".

Divisors: 1 2 3 6 9 18 667894517839 1335789035678 2003683553517 4007367107034 6011050660551 12022101321102