Search a number
-
+
31334234204 = 22713791139643
BaseRepresentation
bin11101001011101010…
…100111100001011100
32222212201220000121202
4131023222213201130
51003133030443304
622221133215032
72156330411330
oct351352474134
988781800552
1031334234204
111231a3a3a29
1260a5931478
132c549283b0
14173371b7c0
15c35d2c81e
hex74baa785c

31334234204 has 96 divisors (see below), whose sum is σ = 68955371520. Its totient is φ = 12129481728.

The previous prime is 31334234201. The next prime is 31334234213. The reversal of 31334234204 is 40243243313.

It is a super-2 number, since 2×313342342042 (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 (31334234201) by changing a digit.

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, 3244607 + ... + 3254249.

It is an arithmetic number, because the mean of its divisors is an integer number (718285120).

Almost surely, 231334234204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31334234204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34477685760).

31334234204 is an abundant number, since it is smaller than the sum of its proper divisors (37621137316).

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

31334234204 is a wasteful number, since it uses less digits than its factorization.

31334234204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9859 (or 9857 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 29.

Adding to 31334234204 its reverse (40243243313), we get a palindrome (71577477517).

The spelling of 31334234204 in words is "thirty-one billion, three hundred thirty-four million, two hundred thirty-four thousand, two hundred four".

Divisors: 1 2 4 7 13 14 26 28 52 79 91 113 158 182 226 316 364 452 553 791 1027 1106 1469 1582 2054 2212 2938 3164 4108 5876 7189 8927 9643 10283 14378 17854 19286 20566 28756 35708 38572 41132 62489 67501 116051 124978 125359 135002 232102 249956 250718 270004 464204 501436 761797 812357 877513 1089659 1523594 1624714 1755026 2179318 3047188 3249428 3510052 4358636 5332579 7627613 9903361 10665158 14165567 15255226 19806722 21330316 28331134 30510452 39613444 56662268 69323527 86083061 99158969 138647054 172166122 198317938 277294108 344332244 396635876 602581427 1119079793 1205162854 2238159586 2410325708 4476319172 7833558551 15667117102 31334234204