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112322413314 = 2332971725679
BaseRepresentation
bin110100010011011110…
…0000000001100000010
3101201220221102210112000
41220212330000030002
53320014014211224
6123333351044430
711054311521516
oct1504674001402
9351827383460
10112322413314
11436aa08a661
1219928670716
13a7906bba77
145617808146
152dc5e450c9
hex1a26f00302

112322413314 has 32 divisors (see below), whose sum is σ = 258212448000. Its totient is φ = 36149741712.

The previous prime is 112322413309. The next prime is 112322413339. The reversal of 112322413314 is 413314223211.

112322413314 is a `hidden beast` number, since 1 + 1 + 2 + 322 + 4 + 1 + 331 + 4 = 666.

112322413314 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 35861274 + ... + 35864405.

It is an arithmetic number, because the mean of its divisors is an integer number (8069139000).

Almost surely, 2112322413314 is an apocalyptic number.

112322413314 is an abundant number, since it is smaller than the sum of its proper divisors (145890034686).

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

112322413314 is a wasteful number, since it uses less digits than its factorization.

112322413314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71725719 (or 71725713 counting only the distinct ones).

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

Adding to 112322413314 its reverse (413314223211), we get a palindrome (525636636525).

The spelling of 112322413314 in words is "one hundred twelve billion, three hundred twenty-two million, four hundred thirteen thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 261 522 783 1566 71725679 143451358 215177037 430354074 645531111 1291062222 1936593333 2080044691 3873186666 4160089382 6240134073 12480268146 18720402219 37440804438 56161206657 112322413314