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1112321322 = 2377172137
BaseRepresentation
bin100001001001100…
…1010110100101010
32212112000210000000
41002103022310222
54234223240242
6302212523430
736364401210
oct10223126452
92775023000
101112321322
11520970522
12270620576
131495a5cc8
14a7a28cb0
15679bba4c
hex424cad2a

1112321322 has 128 divisors (see below), whose sum is σ = 3029460480. Its totient is φ = 298971648.

The previous prime is 1112321321. The next prime is 1112321333. The reversal of 1112321322 is 2231232111.

1112321322 is a `hidden beast` number, since 11 + 12 + 321 + 322 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1112321295 and 1112321304.

It is not an unprimeable number, because it can be changed into a prime (1112321321) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 519438 + ... + 521574.

It is an arithmetic number, because the mean of its divisors is an integer number (23667660).

Almost surely, 21112321322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1112321322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514730240).

1112321322 is an abundant number, since it is smaller than the sum of its proper divisors (1917139158).

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

1112321322 is an equidigital number, since it uses as much as digits as its factorization.

1112321322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2184 (or 2166 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 1112321322 is about 33351.4815562967. The cubic root of 1112321322 is about 1036.1200728686.

Adding to 1112321322 its reverse (2231232111), we get a palindrome (3343553433).

The spelling of 1112321322 in words is "one billion, one hundred twelve million, three hundred twenty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 81 102 119 126 153 162 189 238 243 306 357 378 459 486 567 714 729 918 1071 1134 1377 1458 1701 2137 2142 2187 2754 3213 3402 4131 4274 4374 5103 6411 6426 8262 9639 10206 12393 12822 14959 15309 19233 19278 24786 28917 29918 30618 36329 37179 38466 44877 57699 57834 72658 74358 86751 89754 108987 115398 134631 173097 173502 217974 254303 260253 269262 326961 346194 403893 508606 519291 520506 653922 762909 807786 980883 1038582 1211679 1525818 1557873 1961766 2288727 2423358 2942649 3115746 3635037 4577454 4673619 5885298 6866181 7270074 8827947 9347238 10905111 13732362 17655894 20598543 21810222 26483841 32715333 41197086 52967682 61795629 65430666 79451523 123591258 158903046 185386887 370773774 556160661 1112321322