Search a number
-
+
111325383936 = 283513137659
BaseRepresentation
bin110011110101110000…
…0101000110100000000
3101122100110100110100000
41213223200220310000
53310443244241221
6123050413200000
711020514102364
oct1475340506400
9348313313300
10111325383936
1143238305738
12196aa790000
13a661c81a60
1455612312a4
152d6864de26
hex19eb828d00

111325383936 has 216 divisors, whose sum is σ = 358474348960. Its totient is φ = 34253715456.

The previous prime is 111325383919. The next prime is 111325383991. The reversal of 111325383936 is 639383523111.

111325383936 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 253 + 8 + 393 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×1113253839362 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 111325383891 and 111325383900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 739875 + ... + 877533.

Almost surely, 2111325383936 is an apocalyptic number.

111325383936 is a gapful number since it is divisible by the number (16) 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 111325383936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179237174480).

111325383936 is an abundant number, since it is smaller than the sum of its proper divisors (247148965024).

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

111325383936 is an equidigital number, since it uses as much as digits as its factorization.

111325383936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137703 (or 137677 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The spelling of 111325383936 in words is "one hundred eleven billion, three hundred twenty-five million, three hundred eighty-three thousand, nine hundred thirty-six".