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112124432313 = 32593375091231
BaseRepresentation
bin110100001101100100…
…0110000111110111001
3101201102010220022122100
41220123020300332321
53314112323313223
6123301555414013
711046355643445
oct1503310607671
9351363808570
10112124432313
11436083565a3
12198922b4309
13a75b69074a
1455d93cd825
152db3889043
hex1a1b230fb9

112124432313 has 48 divisors (see below), whose sum is σ = 165650284800. Its totient is φ = 73061291520.

The previous prime is 112124432311. The next prime is 112124432317. The reversal of 112124432313 is 313234421211.

112124432313 is a `hidden beast` number, since 1 + 1 + 212 + 4 + 432 + 3 + 13 = 666.

It is not a de Polignac number, because 112124432313 - 21 = 112124432311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112124432311) 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 47 ways as a sum of consecutive naturals, for example, 91083408 + ... + 91084638.

It is an arithmetic number, because the mean of its divisors is an integer number (3451047600).

Almost surely, 2112124432313 is an apocalyptic number.

It is an amenable number.

112124432313 is a deficient number, since it is larger than the sum of its proper divisors (53525852487).

112124432313 is a wasteful number, since it uses less digits than its factorization.

112124432313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142 (or 2139 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 112124432313 its reverse (313234421211), we get a palindrome (425358853524).

The spelling of 112124432313 in words is "one hundred twelve billion, one hundred twenty-four million, four hundred thirty-two thousand, three hundred thirteen".

Divisors: 1 3 9 59 177 337 509 531 1011 1231 1527 3033 3693 4581 11079 19883 30031 59649 72629 90093 171533 178947 217887 270279 414847 514599 626579 653661 1244541 1543797 1879737 3733623 5639211 10120447 24475973 30361341 36968161 73427919 91084023 110904483 211157123 220283757 332713449 633471369 1900414107 12458270257 37374810771 112124432313