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1122031314 = 2321728113049
BaseRepresentation
bin100001011100000…
…1101011011010010
32220012022002121100
41002320031123102
54244220000224
6303201005230
736543052215
oct10270153322
92805262540
101122031314
115263a2808
12273923816
1314b5c5871
14a903577c
1568788ac9
hex42e0d6d2

1122031314 has 48 divisors (see below), whose sum is σ = 2583430200. Its totient is φ = 350730240.

The previous prime is 1122031291. The next prime is 1122031319. The reversal of 1122031314 is 4131302211.

It can be written as a sum of positive squares in 4 ways, for example, as 1105895025 + 16136289 = 33255^2 + 4017^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1122031319) 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, 79462 + ... + 92510.

Almost surely, 21122031314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122031314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291715100).

1122031314 is an abundant number, since it is smaller than the sum of its proper divisors (1461398886).

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

1122031314 is a wasteful number, since it uses less digits than its factorization.

1122031314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13355 (or 13352 counting only the distinct ones).

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

The square root of 1122031314 is about 33496.7358708278. The cubic root of 1122031314 is about 1039.1262736891.

Adding to 1122031314 its reverse (4131302211), we get a palindrome (5253333525).

The spelling of 1122031314 in words is "one billion, one hundred twenty-two million, thirty-one thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 281 306 562 843 1686 2529 4777 5058 9554 13049 14331 26098 28662 39147 42993 78294 85986 117441 221833 234882 443666 665499 1330998 1996497 3666769 3992994 7333538 11000307 22000614 33000921 62335073 66001842 124670146 187005219 374010438 561015657 1122031314