Search a number
-
+
1123313112 = 23321011131367
BaseRepresentation
bin100001011110100…
…0110010111011000
32220021201012220100
41002331012113120
54300032004422
6303244255400
736560001225
oct10275062730
92807635810
101123313112
11527098849
12274241560
1314b95411c
14a928a94c
156893d7ac
hex42f465d8

1123313112 has 96 divisors (see below), whose sum is σ = 3101885280. Its totient is φ = 367180800.

The previous prime is 1123313099. The next prime is 1123313129. The reversal of 1123313112 is 2113133211.

It is a super-2 number, since 2×11233131122 = 2523664695182249088, which contains 22 as substring.

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 congruent 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, 821053 + ... + 822419.

It is an arithmetic number, because the mean of its divisors is an integer number (32311305).

Almost surely, 21123313112 is an apocalyptic number.

1123313112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1123313112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1550942640).

1123313112 is an abundant number, since it is smaller than the sum of its proper divisors (1978572168).

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

1123313112 is a wasteful number, since it uses less digits than its factorization.

1123313112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1593 (or 1586 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 1123313112 is about 33515.8635872627. The cubic root of 1123313112 is about 1039.5218191259.

Adding to 1123313112 its reverse (2113133211), we get a palindrome (3236446323).

The spelling of 1123313112 in words is "one billion, one hundred twenty-three million, three hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 113 202 226 303 339 404 452 606 678 808 904 909 1017 1212 1356 1367 1818 2034 2424 2712 2734 3636 4068 4101 5468 7272 8136 8202 10936 11413 12303 16404 22826 24606 32808 34239 45652 49212 68478 91304 98424 102717 136956 138067 154471 205434 273912 276134 308942 410868 414201 463413 552268 617884 821736 828402 926826 1104536 1235768 1242603 1390239 1656804 1853652 2485206 2780478 3313608 3707304 4970412 5560956 9940824 11121912 15601571 31203142 46804713 62406284 93609426 124812568 140414139 187218852 280828278 374437704 561656556 1123313112