Search a number
-
+
117032362128 = 2432113153193233
BaseRepresentation
bin110110011111110101…
…1000010000010010000
3102012002012000222122200
41230333223002002100
53404140241042003
6125433001403200
711312112443643
oct1547753020220
9365065028580
10117032362128
11456a6798940
121a821a99500
13b061424026
145943165a5a
15309e6a56a3
hex1b3fac2090

117032362128 has 480 divisors, whose sum is σ = 379356576768. Its totient is φ = 33354547200.

The previous prime is 117032362123. The next prime is 117032362147. The reversal of 117032362128 is 821263230711.

117032362128 is a `hidden beast` number, since 1 + 1 + 7 + 0 + 3 + 2 + 3 + 621 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 117032362092 and 117032362101.

It is not an unprimeable number, because it can be changed into a prime (117032362123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 502284700 + ... + 502284932.

Almost surely, 2117032362128 is an apocalyptic number.

117032362128 is a gapful number since it is divisible by the number (18) 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 117032362128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189678288384).

117032362128 is an abundant number, since it is smaller than the sum of its proper divisors (262324214640).

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

117032362128 is a wasteful number, since it uses less digits than its factorization.

117032362128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Adding to 117032362128 its reverse (821263230711), we get a palindrome (938295592839).

The spelling of 117032362128 in words is "one hundred seventeen billion, thirty-two million, three hundred sixty-two thousand, one hundred twenty-eight".