Search a number
-
+
121513927104 = 2632377972173
BaseRepresentation
bin111000100101011001…
…0110110000111000000
3102121122111220002001200
41301022302312013000
53442330031131404
6131453413101200
711531141224023
oct1611262660700
9377574802050
10121513927104
1147596497a49
121b672927800
13b5c6a4481b
145c4a4331ba
153262d51839
hex1c4acb61c0

121513927104 has 168 divisors, whose sum is σ = 362244192960. Its totient is φ = 38910523392.

The previous prime is 121513927103. The next prime is 121513927111. The reversal of 121513927104 is 401729315121.

It is a happy number.

121513927104 is a `hidden beast` number, since 12 + 1 + 513 + 9 + 27 + 104 = 666.

121513927104 is digitally balanced in base 3, 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121513927103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1647562 + ... + 1719734.

Almost surely, 2121513927104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121513927104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181122096480).

121513927104 is an abundant number, since it is smaller than the sum of its proper divisors (240730265856).

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

121513927104 is a wasteful number, since it uses less digits than its factorization.

121513927104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72307 (or 72294 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 121513927104 in words is "one hundred twenty-one billion, five hundred thirteen million, nine hundred twenty-seven thousand, one hundred four".