Search a number
-
+
302313223232010 = 23451277292267973
BaseRepresentation
bin100010010111100111100100…
…0010010000001101000001010
31110122101212021022120020210000
41010233033020102001220022
5304111044440121411020
62550544435534103430
7120451260331512354
oct10457171022015012
91418355238506700
10302313223232010
1188365355252521
1229aa63b294ab76
13cc8c026199313
1454920766a20d4
1524e3cd9d45090
hex112f3c8481a0a

302313223232010 has 80 divisors (see below), whose sum is σ = 813523229341416. Its totient is φ = 80553729370752.

The previous prime is 302313223231991. The next prime is 302313223232021. The reversal of 302313223232010 is 10232322313203.

302313223232010 is a `hidden beast` number, since 3 + 0 + 2 + 3 + 1 + 322 + 3 + 2 + 320 + 10 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 269697553745841 + 32615669486169 = 16422471^2 + 5711013^2 .

It is a super-2 number, since 2×3023132232320102 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 39 ways as a sum of consecutive naturals, for example, 145099617 + ... + 147168356.

Almost surely, 2302313223232010 is an apocalyptic number.

302313223232010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

302313223232010 is an abundant number, since it is smaller than the sum of its proper divisors (511210006109406).

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

302313223232010 is a wasteful number, since it uses less digits than its factorization.

302313223232010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292269269 (or 292269260 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 302313223232010 its reverse (10232322313203), we get a palindrome (312545545545213).

The spelling of 302313223232010 in words is "three hundred two trillion, three hundred thirteen billion, two hundred twenty-three million, two hundred thirty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 1277 2554 3831 6385 7662 11493 12770 19155 22986 34479 38310 57465 68958 103437 114930 172395 206874 344790 517185 1034370 292267973 584535946 876803919 1461339865 1753607838 2630411757 2922679730 4384019595 5260823514 7891235271 8768039190 13152058785 15782470542 23673705813 26304117570 39456176355 47347411626 78912352710 118368529065 236737058130 373226201521 746452403042 1119678604563 1866131007605 2239357209126 3359035813689 3732262015210 5598393022815 6718071627378 10077107441067 11196786045630 16795179068445 20154214882134 30231322323201 33590358136890 50385537205335 60462644646402 100771074410670 151156611616005 302313223232010