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112880422845 = 325411571812153
BaseRepresentation
bin110100100100000110…
…0101000111110111101
3101210100211102121200200
41221020030220332331
53322134342012340
6123505003114113
711104165522461
oct1511014507675
9353324377620
10112880422845
1143966068463
1219a63512939
13a84c1a4b18
14566b9804a1
152e09e1b330
hex1a48328fbd

112880422845 has 96 divisors (see below), whose sum is σ = 202916829024. Its totient is φ = 58011033600.

The previous prime is 112880422799. The next prime is 112880422871. The reversal of 112880422845 is 548224088211.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 111174898041 + 1705524804 = 333429^2 + 41298^2 .

It is not a de Polignac number, because 112880422845 - 216 = 112880357309 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 112880422845.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 52428289 + ... + 52430441.

It is an arithmetic number, because the mean of its divisors is an integer number (2113716969).

Almost surely, 2112880422845 is an apocalyptic number.

112880422845 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

112880422845 is a deficient number, since it is larger than the sum of its proper divisors (90036406179).

112880422845 is a wasteful number, since it uses less digits than its factorization.

112880422845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2543 (or 2540 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The spelling of 112880422845 in words is "one hundred twelve billion, eight hundred eighty million, four hundred twenty-two thousand, eight hundred forty-five".

Divisors: 1 3 5 9 15 41 45 123 157 181 205 369 471 543 615 785 905 1413 1629 1845 2153 2355 2715 6437 6459 7065 7421 8145 10765 19311 19377 22263 28417 32185 32295 37105 57933 66789 85251 88273 96555 96885 111315 142085 255753 264819 289665 333945 338021 389693 426255 441365 794457 1014063 1165097 1169079 1278765 1324095 1690105 1948465 3042189 3495291 3507237 3972285 5070315 5825485 5845395 10485873 13858861 15210945 15977413 17476455 17536185 41576583 47932239 52429365 61181801 69294305 79887065 124729749 143796717 183545403 207882915 239661195 305909005 550636209 623648745 718983585 917727015 2508453841 2753181045 7525361523 12542269205 22576084569 37626807615 112880422845