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112322300319 = 3347145161001
BaseRepresentation
bin110100010011011101…
…1100100100110011111
3101201220221020001112000
41220212323210212133
53320014002102234
6123333344413343
711054310541215
oct1504673444637
9351827201460
10112322300319
11436aa012779
1219928617253
13a79067c4c8
1456177b8cb5
152dc5e21899
hex1a26ee499f

112322300319 has 32 divisors (see below), whose sum is σ = 170063815680. Its totient is φ = 73236600000.

The previous prime is 112322300309. The next prime is 112322300351. The reversal of 112322300319 is 913003223211.

112322300319 is a `hidden beast` number, since 1 + 1 + 2 + 322 + 300 + 31 + 9 = 666.

It is not a de Polignac number, because 112322300319 - 24 = 112322300303 is a prime.

It is a super-2 number, since 2×1123223003192 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 112322300292 and 112322300301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112322300309) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1810819 + ... + 1871819.

It is an arithmetic number, because the mean of its divisors is an integer number (5314494240).

Almost surely, 2112322300319 is an apocalyptic number.

112322300319 is a deficient number, since it is larger than the sum of its proper divisors (57741515361).

112322300319 is a wasteful number, since it uses less digits than its factorization.

112322300319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62508 (or 62502 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 112322300319 in words is "one hundred twelve billion, three hundred twenty-two million, three hundred thousand, three hundred nineteen".

Divisors: 1 3 9 27 47 141 423 1269 1451 4353 13059 39177 61001 68197 183003 204591 549009 613773 1647027 1841319 2867047 8601141 25803423 77410269 88512451 265537353 796612059 2389836177 4160085197 12480255591 37440766773 112322300319