Search a number
-
+
123133002102012 = 223723537915221743
BaseRepresentation
bin11011111111110100100010…
…110110011011010011111100
3121010222101210121222010202210
4123333310202312123103330
5112114402342014231022
61113514304213020420
734636031402514510
oct3377644266332374
9533871717863683
10123133002102012
113626345a685761
1211988001324710
135392513aa0606
142259952024140
15e37e8a569a0c
hex6ffd22d9b4fc

123133002102012 has 192 divisors, whose sum is σ = 353514653614080. Its totient is φ = 32598395571456.

The previous prime is 123133002101971. The next prime is 123133002102013. The reversal of 123133002102012 is 210201200331321.

It is a super-2 number, since 2×1231330021020122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 123133002102012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123133002102013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 478413 + ... + 15700155.

It is an arithmetic number, because the mean of its divisors is an integer number (1841222154240).

Almost surely, 2123133002102012 is an apocalyptic number.

123133002102012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123133002102012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176757326807040).

123133002102012 is an abundant number, since it is smaller than the sum of its proper divisors (230381651512068).

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

123133002102012 is a wasteful number, since it uses less digits than its factorization.

123133002102012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15221912 (or 15221910 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 123133002102012 its reverse (210201200331321), we get a palindrome (333334202433333).

The spelling of 123133002102012 in words is "one hundred twenty-three trillion, one hundred thirty-three billion, two million, one hundred two thousand, twelve".