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31320433014 = 2313297359887
BaseRepresentation
bin11101001010110101…
…111110000101110110
32222211202220211221120
4131022311332011312
51003121012324024
622215521324410
72156102200533
oct351265760566
988752824846
1031320433014
1112312627992
1260a1196706
132c51b05600
141731967d8a
15c34a03479
hex74ad7e176

31320433014 has 96 divisors (see below), whose sum is σ = 68797693440. Its totient is φ = 9500414976.

The previous prime is 31320433013. The next prime is 31320433031. The reversal of 31320433014 is 41033402313.

It is a super-2 number, since 2×313204330142 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31320433013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35310079 + ... + 35310965.

It is an arithmetic number, because the mean of its divisors is an integer number (716642640).

Almost surely, 231320433014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31320433014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34398846720).

31320433014 is an abundant number, since it is smaller than the sum of its proper divisors (37477260426).

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

31320433014 is a wasteful number, since it uses less digits than its factorization.

31320433014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 31320433014 its reverse (41033402313), we get a palindrome (72353835327).

The spelling of 31320433014 in words is "thirty-one billion, three hundred twenty million, four hundred thirty-three thousand, fourteen".

Divisors: 1 2 3 6 13 26 39 78 97 169 194 291 338 359 507 582 718 887 1014 1077 1261 1774 2154 2522 2661 3783 4667 5322 7566 9334 11531 14001 16393 23062 28002 32786 34593 34823 49179 60671 69186 69646 86039 98358 104469 121342 149903 172078 182013 208938 258117 299806 318433 364026 449709 452699 516234 636866 899418 905398 955299 1118507 1358097 1910598 2237014 2716194 3355521 4139629 5885087 6711042 8279258 11770174 12418887 14540591 17655261 24837774 29081182 30888001 35310522 43621773 53815177 61776002 87243546 92664003 107630354 161445531 185328006 322891062 401544013 803088026 1204632039 2409264078 5220072169 10440144338 15660216507 31320433014