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113822219268 = 22323161728313
BaseRepresentation
bin110101000000001010…
…1010011110000000100
3101212210110120211111200
41222000111103300010
53331101442004033
6124142245102500
711136422620602
oct1520025236004
9355713524450
10113822219268
11442a974800a
121a0869b7a30
13a96c343904
14571aa9a872
152e62952013
hex1a80553c04

113822219268 has 18 divisors (see below), whose sum is σ = 287717276574. Its totient is φ = 37940739744.

The previous prime is 113822219213. The next prime is 113822219317. The reversal of 113822219268 is 862912228311.

113822219268 is a `hidden beast` number, since 1 + 1 + 382 + 2 + 2 + 1 + 9 + 268 = 666.

It can be written as a sum of positive squares in only one way, i.e., 110202753024 + 3619466244 = 331968^2 + 60162^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1580864121 + ... + 1580864192.

It is an arithmetic number, because the mean of its divisors is an integer number (15984293143).

Almost surely, 2113822219268 is an apocalyptic number.

113822219268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

113822219268 is an abundant number, since it is smaller than the sum of its proper divisors (173895057306).

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

113822219268 is a wasteful number, since it uses less digits than its factorization.

113822219268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3161728323 (or 3161728318 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The spelling of 113822219268 in words is "one hundred thirteen billion, eight hundred twenty-two million, two hundred nineteen thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 3161728313 6323456626 9485184939 12646913252 18970369878 28455554817 37940739756 56911109634 113822219268