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1231113330 = 2365971741
BaseRepresentation
bin100100101100001…
…0100110001110010
310011210120001000000
41021120110301302
510010131111310
6322055010430
742336201456
oct11130246162
93153501000
101231113330
11581a27737
122a4369a16
13168099135
14b970c666
15731344c0
hex49614c72

1231113330 has 112 divisors (see below), whose sum is σ = 3358666584. Its totient is φ = 324725760.

The previous prime is 1231113329. The next prime is 1231113337. The reversal of 1231113330 is 333111321.

It is a happy number.

1231113330 is a `hidden beast` number, since 12 + 311 + 13 + 330 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 518063121 + 713050209 = 22761^2 + 26703^2 .

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1231113337) 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 55 ways as a sum of consecutive naturals, for example, 706260 + ... + 708000.

Almost surely, 21231113330 is an apocalyptic number.

1231113330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1231113330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679333292).

1231113330 is an abundant number, since it is smaller than the sum of its proper divisors (2127553254).

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

1231113330 is an equidigital number, since it uses as much as digits as its factorization.

1231113330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1863 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1231113330 is about 35087.2245981354. The cubic root of 1231113330 is about 1071.7644425859.

Adding to 1231113330 its reverse (333111321), we get a palindrome (1564224651).

The spelling of 1231113330 in words is "one billion, two hundred thirty-one million, one hundred thirteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 97 135 162 194 243 270 291 405 485 486 582 729 810 873 970 1215 1455 1458 1741 1746 2430 2619 2910 3482 3645 4365 5223 5238 7290 7857 8705 8730 10446 13095 15669 15714 17410 23571 26115 26190 31338 39285 47007 47142 52230 70713 78345 78570 94014 117855 141021 141426 156690 168877 235035 235710 282042 337754 353565 423063 470070 506631 705105 707130 844385 846126 1013262 1269189 1410210 1519893 1688770 2115315 2533155 2538378 3039786 4230630 4559679 5066310 6345945 7599465 9119358 12691890 13679037 15198930 22798395 27358074 41037111 45596790 68395185 82074222 123111333 136790370 205185555 246222666 410371110 615556665 1231113330