Search a number
-
+
12033023310 = 2335711578789
BaseRepresentation
bin10110011010011100…
…10101110101001110
31011001121020220211000
423031032111311032
5144120423221220
65310005241130
7604122003420
oct131516256516
934047226730
1012033023310
115115367570
1223b9a031a6
131199c57949
14822176810
154a65e5390
hex2cd395d4e

12033023310 has 128 divisors (see below), whose sum is σ = 40005964800. Its totient is φ = 2500364160.

The previous prime is 12033023309. The next prime is 12033023363. The reversal of 12033023310 is 1332033021.

12033023310 is a `hidden beast` number, since 1 + 2 + 0 + 330 + 2 + 331 + 0 = 666.

It is a super-2 number, since 2×120330233102 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 268605 + ... + 310184.

It is an arithmetic number, because the mean of its divisors is an integer number (312546600).

Almost surely, 212033023310 is an apocalyptic number.

12033023310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12033023310 is an abundant number, since it is smaller than the sum of its proper divisors (27972941490).

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

12033023310 is a wasteful number, since it uses less digits than its factorization.

12033023310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578823 (or 578817 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 12033023310 its reverse (1332033021), we get a palindrome (13365056331).

The spelling of 12033023310 in words is "twelve billion, thirty-three million, twenty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 27 30 33 35 42 45 54 55 63 66 70 77 90 99 105 110 126 135 154 165 189 198 210 231 270 297 315 330 378 385 462 495 594 630 693 770 945 990 1155 1386 1485 1890 2079 2310 2970 3465 4158 6930 10395 20790 578789 1157578 1736367 2893945 3472734 4051523 5209101 5787890 6366679 8103046 8681835 10418202 12154569 12733358 15627303 17363670 19100037 20257615 24309138 26045505 31254606 31833395 36463707 38200074 40515230 44566753 52091010 57300111 60772845 63666790 72927414 78136515 89133506 95500185 109391121 114600222 121545690 133700259 156273030 171900333 182318535 191000370 218782242 222833765 267400518 286500555 343800666 364637070 401100777 445667530 546955605 573001110 668501295 802201554 859501665 1093911210 1203302331 1337002590 1719003330 2005503885 2406604662 4011007770 6016511655 12033023310