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233131130330 = 25724123414957
BaseRepresentation
bin1101100100011110110…
…0101011110111011010
3211021202022100111012112
43121013230223313122
512304423032132310
6255033213112322
722562130624500
oct3310754536732
9737668314175
10233131130330
118a96349984a
12392231886a2
1318ca42bb8c7
14b3d8308670
1560e6de5705
hex3647b2bdda

233131130330 has 96 divisors (see below), whose sum is σ = 500368618512. Its totient is φ = 77932108800.

The previous prime is 233131130321. The next prime is 233131130359. The reversal of 233131130330 is 33031131332.

It can be written as a sum of positive squares in 8 ways, for example, as 97307187481 + 135823942849 = 311941^2 + 368543^2 .

It is a junction number, because it is equal to n+sod(n) for n = 233131130296 and 233131130305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47028212 + ... + 47033168.

Almost surely, 2233131130330 is an apocalyptic number.

233131130330 is an abundant number, since it is smaller than the sum of its proper divisors (267237488182).

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

233131130330 is a wasteful number, since it uses less digits than its factorization.

233131130330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7360 (or 7353 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 233131130330 its reverse (33031131332), we get a palindrome (266162261662).

The spelling of 233131130330 in words is "two hundred thirty-three billion, one hundred thirty-one million, one hundred thirty thousand, three hundred thirty".

Divisors: 1 2 5 7 10 14 35 41 49 70 82 98 205 245 287 410 490 574 1435 2009 2341 2870 4018 4682 4957 9914 10045 11705 16387 20090 23410 24785 32774 34699 49570 69398 81935 95981 114709 163870 173495 191962 203237 229418 242893 346990 406474 479905 485786 573545 671867 959810 1016185 1147090 1214465 1343734 1422659 2032370 2428930 2845318 3359335 4703069 6718670 7113295 9406138 9958613 11604337 14226590 19917226 23208674 23515345 47030690 49793065 58021685 81230359 99586130 116043370 162460718 406151795 475777817 568612513 812303590 951555634 1137225026 2378889085 2843062565 3330444719 4757778170 5686125130 6660889438 16652223595 23313113033 33304447190 46626226066 116565565165 233131130330