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112252344399 = 33132313904663
BaseRepresentation
bin110100010001011000…
…0101101100001001111
3101201202001120221001000
41220202300231201033
53314343100010044
6123322405151343
711052501120126
oct1504260554117
9351661527030
10112252344399
1143673581868
12199090bb553
13a77c027a80
14560c3a8abd
152dbec03d69
hex1a22c2d84f

112252344399 has 32 divisors (see below), whose sum is σ = 186878684160. Its totient is φ = 66074953824.

The previous prime is 112252344389. The next prime is 112252344473. The reversal of 112252344399 is 993443252211.

112252344399 is a `hidden beast` number, since 1 + 1 + 2 + 25 + 234 + 4 + 399 = 666.

It is not a de Polignac number, because 112252344399 - 24 = 112252344383 is a prime.

It is a super-3 number, since 3×1122523443993 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112252344389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6944259 + ... + 6960404.

It is an arithmetic number, because the mean of its divisors is an integer number (5839958880).

Almost surely, 2112252344399 is an apocalyptic number.

112252344399 is a deficient number, since it is larger than the sum of its proper divisors (74626339761).

112252344399 is a wasteful number, since it uses less digits than its factorization.

112252344399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13904708 (or 13904702 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The spelling of 112252344399 in words is "one hundred twelve billion, two hundred fifty-two million, three hundred forty-four thousand, three hundred ninety-nine".

Divisors: 1 3 9 13 23 27 39 69 117 207 299 351 621 897 2691 8073 13904663 41713989 125141967 180760619 319807249 375425901 542281857 959421747 1626845571 2878265241 4157494237 4880536713 8634795723 12472482711 37417448133 112252344399