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112220002191 = 31119971923767
BaseRepresentation
bin110100010000011010…
…1010101011110001111
3101201122210201202212110
41220200311111132033
53314311310032231
6123315252035103
711051626165023
oct1504065253617
9351583652773
10112220002191
11436572a1670
12198ba302a93
13a77541297b
145607d8a383
152dbbe66046
hex1a20d5578f

112220002191 has 32 divisors (see below), whose sum is σ = 164284416000. Its totient is φ = 67573392480.

The previous prime is 112220002133. The next prime is 112220002207. The reversal of 112220002191 is 191200022211.

It is not a de Polignac number, because 112220002191 - 26 = 112220002127 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112220002091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4709790 + ... + 4733556.

It is an arithmetic number, because the mean of its divisors is an integer number (5133888000).

Almost surely, 2112220002191 is an apocalyptic number.

112220002191 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112220002191 is a deficient number, since it is larger than the sum of its proper divisors (52064413809).

112220002191 is a wasteful number, since it uses less digits than its factorization.

112220002191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24699.

The product of its (nonzero) digits is 144, while the sum is 21.

The spelling of 112220002191 in words is "one hundred twelve billion, two hundred twenty million, two thousand, one hundred ninety-one".

Divisors: 1 3 11 33 199 597 719 2157 2189 6567 7909 23727 23767 71301 143081 261437 429243 784311 1573891 4721673 4729633 14188899 17088473 51265419 52025963 156077889 187973203 563919609 3400606127 10201818381 37406667397 112220002191