Search a number
-
+
12303113112 = 23331716720063
BaseRepresentation
bin10110111010101001…
…01001101110011000
31011202102110220101000
423131110221232120
5200144044104422
65352454225000
7613611510303
oct133524515630
934672426330
1012303113112
115243871a84
122474355160
131210bb25b4
14849da1b3a
154c0196cac
hex2dd529b98

12303113112 has 128 divisors (see below), whose sum is σ = 36404121600. Its totient is φ = 3836496384.

The previous prime is 12303113107. The next prime is 12303113113. The reversal of 12303113112 is 21131130321.

12303113112 is a `hidden beast` number, since 12 + 30 + 311 + 311 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12303113113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 603193 + ... + 623255.

It is an arithmetic number, because the mean of its divisors is an integer number (284407200).

Almost surely, 212303113112 is an apocalyptic number.

12303113112 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 12303113112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18202060800).

12303113112 is an abundant number, since it is smaller than the sum of its proper divisors (24101008488).

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

12303113112 is a wasteful number, since it uses less digits than its factorization.

12303113112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20262 (or 20252 counting only the distinct ones).

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

Adding to 12303113112 its reverse (21131130321), we get a palindrome (33434243433).

The spelling of 12303113112 in words is "twelve billion, three hundred three million, one hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 167 204 216 306 334 408 459 501 612 668 918 1002 1224 1336 1503 1836 2004 2839 3006 3672 4008 4509 5678 6012 8517 9018 11356 12024 17034 18036 20063 22712 25551 34068 36072 40126 51102 60189 68136 76653 80252 102204 120378 153306 160504 180567 204408 240756 306612 341071 361134 481512 541701 613224 682142 722268 1023213 1083402 1364284 1444536 2046426 2166804 2728568 3069639 3350521 4092852 4333608 6139278 6701042 8185704 9208917 10051563 12278556 13402084 18417834 20103126 24557112 26804168 30154689 36835668 40206252 56958857 60309378 73671336 80412504 90464067 113917714 120618756 170876571 180928134 227835428 241237512 341753142 361856268 455670856 512629713 683506284 723712536 1025259426 1367012568 1537889139 2050518852 3075778278 4101037704 6151556556 12303113112