Search a number
-
+
112890309280 = 2557313787877
BaseRepresentation
bin110100100100011001…
…0010110101010100000
3101210101112000220022221
41221020302112222200
53322144404344110
6123505555040424
711104345540060
oct1511062265240
9353345026287
10112890309280
1143970700271
1219a668a0114
13a851256a98
14566cdd53a0
152e0ac207da
hex1a48c96aa0

112890309280 has 192 divisors, whose sum is σ = 323143575552. Its totient is φ = 36443934720.

The previous prime is 112890309251. The next prime is 112890309283. The reversal of 112890309280 is 82903098211.

112890309280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (112890309283) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1240702 + ... + 1328578.

It is an arithmetic number, because the mean of its divisors is an integer number (1683039456).

Almost surely, 2112890309280 is an apocalyptic number.

112890309280 is a gapful number since it is divisible by the number (10) 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 112890309280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161571787776).

112890309280 is an abundant number, since it is smaller than the sum of its proper divisors (210253266272).

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

112890309280 is a wasteful number, since it uses less digits than its factorization.

112890309280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87967 (or 87959 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 43.

The spelling of 112890309280 in words is "one hundred twelve billion, eight hundred ninety million, three hundred nine thousand, two hundred eighty".