Search a number
-
+
112232000322 = 232133712962809
BaseRepresentation
bin110100010000110001…
…1000110101101000010
3101201200122022100012200
41220201203012231002
53314322343002242
6123320401134030
711052133156011
oct1504143065502
9351618270180
10112232000322
1143663046a82
121990232a316
13a777a53b60
1456097d0a78
152dbd03604c
hex1a218c6b42

112232000322 has 48 divisors (see below), whose sum is σ = 268952381880. Its totient is φ = 33599598336.

The previous prime is 112232000303. The next prime is 112232000323. The reversal of 112232000322 is 223000232211.

112232000322 is a `hidden beast` number, since 1 + 1 + 22 + 320 + 0 + 0 + 322 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 112197531681 + 34468641 = 334959^2 + 5871^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112232000295 and 112232000304.

It is not an unprimeable number, because it can be changed into a prime (112232000323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6472747 + ... + 6490062.

Almost surely, 2112232000322 is an apocalyptic number.

112232000322 is an abundant number, since it is smaller than the sum of its proper divisors (156720381558).

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

112232000322 is a wasteful number, since it uses less digits than its factorization.

112232000322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12962867 (or 12962864 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 112232000322 its reverse (223000232211), we get a palindrome (335232232533).

The spelling of 112232000322 in words is "one hundred twelve billion, two hundred thirty-two million, three hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 9 13 18 26 37 39 74 78 111 117 222 234 333 481 666 962 1443 2886 4329 8658 12962809 25925618 38888427 77776854 116665281 168516517 233330562 337033034 479623933 505549551 959247866 1011099102 1438871799 1516648653 2877743598 3033297306 4316615397 6235111129 8633230794 12470222258 18705333387 37410666774 56116000161 112232000322