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233000012310 = 235133716146917
BaseRepresentation
bin1101100011111111100…
…0100000101000010110
3211021102011122000002120
43120333320200220112
512304141000343220
6255012210520410
722555646266302
oct3307770405026
9737364560076
10233000012310
118a8a648394a
12391a7296106
1318c830a1290
14b3c4b36d02
1560da645a40
hex363fe20a16

233000012310 has 64 divisors (see below), whose sum is σ = 618491547072. Its totient is φ = 55803741696.

The previous prime is 233000012293. The next prime is 233000012341. The reversal of 233000012310 is 13210000332.

233000012310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2330000123102 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 233000012310.

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 31 ways as a sum of consecutive naturals, for example, 8059029 + ... + 8087888.

It is an arithmetic number, because the mean of its divisors is an integer number (9663930423).

Almost surely, 2233000012310 is an apocalyptic number.

233000012310 is an abundant number, since it is smaller than the sum of its proper divisors (385491534762).

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

233000012310 is a wasteful number, since it uses less digits than its factorization.

233000012310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16146977.

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 233000012310 its reverse (13210000332), we get a palindrome (246210012642).

The spelling of 233000012310 in words is "two hundred thirty-three billion, twelve thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 37 39 65 74 78 111 130 185 195 222 370 390 481 555 962 1110 1443 2405 2886 4810 7215 14430 16146917 32293834 48440751 80734585 96881502 161469170 209909921 242203755 419819842 484407510 597435929 629729763 1049549605 1194871858 1259459526 1792307787 2099099210 2987179645 3148648815 3584615574 5974359290 6297297630 7766667077 8961538935 15533334154 17923077870 23300001231 38833335385 46600002462 77666670770 116500006155 233000012310