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111321406404 = 2233132314932309
BaseRepresentation
bin110011110101101000…
…1011101101111000100
3101122100011212101012000
41213223101131233010
53310441240001104
6123050152025300
711020435225155
oct1475321355704
9348304771160
10111321406404
114323603931a
12196a9392230
13a6611bb4a0
1455608b792c
152d68115639
hex19eb45dbc4

111321406404 has 192 divisors, whose sum is σ = 324683251200. Its totient is φ = 32727366144.

The previous prime is 111321406403. The next prime is 111321406409. The reversal of 111321406404 is 404604123111.

111321406404 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 2 + 14 + 0 + 640 + 4 = 666.

It is a super-2 number, since 2×1113214064042 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (111321406403) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48210802 + ... + 48213110.

It is an arithmetic number, because the mean of its divisors is an integer number (1691058600).

Almost surely, 2111321406404 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 111321406404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162341625600).

111321406404 is an abundant number, since it is smaller than the sum of its proper divisors (213361844796).

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

111321406404 is a wasteful number, since it uses less digits than its factorization.

111321406404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3851 (or 3843 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 111321406404 its reverse (404604123111), we get a palindrome (515925529515).

The spelling of 111321406404 in words is "one hundred eleven billion, three hundred twenty-one million, four hundred six thousand, four hundred four".