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1121230314 = 232378092081
BaseRepresentation
bin100001011010100…
…1001110111101010
32220010210101211200
41002311021313222
54244013332224
6303131505030
736533205021
oct10265116752
92803711750
101121230314
115259a5a26
122735b8176
1314b3a50b9
14a8ca78b8
156867b5c9
hex42d49dea

1121230314 has 48 divisors (see below), whose sum is σ = 2499274440. Its totient is φ = 363018240.

The previous prime is 1121230273. The next prime is 1121230339. The reversal of 1121230314 is 4130321211.

1121230314 is a `hidden beast` number, since 1 + 121 + 230 + 314 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1121111289 + 119025 = 33483^2 + 345^2 .

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 537754 + ... + 539834.

Almost surely, 21121230314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121230314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249637220).

1121230314 is an abundant number, since it is smaller than the sum of its proper divisors (1378044126).

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

1121230314 is a wasteful number, since it uses less digits than its factorization.

1121230314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2935 (or 2932 counting only the distinct ones).

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

The square root of 1121230314 is about 33484.7773473261. Note that the first 3 decimals coincide. The cubic root of 1121230314 is about 1038.8789430135.

Adding to 1121230314 its reverse (4130321211), we get a palindrome (5251551525).

The spelling of 1121230314 in words is "one billion, one hundred twenty-one million, two hundred thirty thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 809 1618 2081 2427 4162 4854 6243 7281 12486 14562 18729 29933 37458 59866 76997 89799 153994 179598 230991 269397 461982 538794 692973 1385946 1683529 3367058 5050587 10101174 15151761 30303522 62290573 124581146 186871719 373743438 560615157 1121230314