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31143330234 = 232177110913151
BaseRepresentation
bin11101000000010010…
…011000000110111010
32222101102200002121100
4131000102120012322
51002240143031414
622150153352230
72151521640102
oct350022300672
988342602540
1031143330234
1112231663a55
126051a08676
132c24207373
141716226202
15c241bd609
hex7404981ba

31143330234 has 96 divisors (see below), whose sum is σ = 73123015680. Its totient is φ = 9543744000.

The previous prime is 31143330223. The next prime is 31143330311. The reversal of 31143330234 is 43203334113.

31143330234 is a `hidden beast` number, since 311 + 43 + 3 + 302 + 3 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 31143330198 and 31143330207.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2361559 + ... + 2374709.

It is an arithmetic number, because the mean of its divisors is an integer number (761698080).

Almost surely, 231143330234 is an apocalyptic number.

31143330234 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31143330234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36561507840).

31143330234 is an abundant number, since it is smaller than the sum of its proper divisors (41979685446).

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

31143330234 is a wasteful number, since it uses less digits than its factorization.

31143330234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13356 (or 13353 counting only the distinct ones).

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

Adding to 31143330234 its reverse (43203334113), we get a palindrome (74346664347).

The spelling of 31143330234 in words is "thirty-one billion, one hundred forty-three million, three hundred thirty thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 34 51 71 102 109 142 153 213 218 306 327 426 639 654 981 1207 1278 1853 1962 2414 3621 3706 5559 7242 7739 10863 11118 13151 15478 16677 21726 23217 26302 33354 39453 46434 69651 78906 118359 131563 139302 223567 236718 263126 394689 447134 670701 789378 933721 1184067 1341402 1433459 1867442 2012103 2368134 2801163 2866918 4024206 4300377 5602326 8403489 8600754 12901131 15873257 16806978 24368803 25802262 31746514 47619771 48737606 73106409 95239542 101775589 142859313 146212818 203551178 219319227 285718626 305326767 438638454 610653534 915980301 1730185013 1831960602 3460370026 5190555039 10381110078 15571665117 31143330234