Search a number
-
+
111999132241920 = 212345711876817
BaseRepresentation
bin11001011101110011010100…
…011111100001000000000000
3112200120000100002112221210000
4121131303110133201000000
5104134443210323220140
61034111405133440000
732406445622302650
oct3135632437410000
9480500302487700
10111999132241920
1132760624380540
121068a222940000
134a6561bb1a6c1
141d92b03468360
15ce354b431a30
hex65dcd47e1000

111999132241920 has 1040 divisors, whose sum is σ = 500557803723648. Its totient is φ = 23272520417280.

The previous prime is 111999132241907. The next prime is 111999132241943. The reversal of 111999132241920 is 29142231999111.

111999132241920 is a `hidden beast` number, since 1 + 1 + 1 + 9 + 99 + 132 + 2 + 419 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 127295352 + ... + 128172168.

Almost surely, 2111999132241920 is an apocalyptic number.

111999132241920 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 111999132241920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250278901861824).

111999132241920 is an abundant number, since it is smaller than the sum of its proper divisors (388558671481728).

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

111999132241920 is an equidigital number, since it uses as much as digits as its factorization.

111999132241920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876876 (or 876845 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 54.

The spelling of 111999132241920 in words is "one hundred eleven trillion, nine hundred ninety-nine billion, one hundred thirty-two million, two hundred forty-one thousand, nine hundred twenty".