Search a number
-
+
31334112342 = 23213899715511
BaseRepresentation
bin11101001011101010…
…001001110001010110
32222212201122211110100
4131023222021301112
51003133013043332
622221130434530
72156326363131
oct351352116126
988781584410
1031334112342
111231a320415
1260a5892a46
132c548b4aa0
1417336c9218
15c35d0667c
hex74ba89c56

31334112342 has 96 divisors (see below), whose sum is σ = 74701448640. Its totient is φ = 9434050560.

The previous prime is 31334112323. The next prime is 31334112367. The reversal of 31334112342 is 24321143313.

It is a happy number.

31334112342 is a `hidden beast` number, since 3 + 13 + 3 + 411 + 234 + 2 = 666.

It is a super-2 number, since 2×313341123422 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 2012367 + ... + 2027877.

It is an arithmetic number, because the mean of its divisors is an integer number (778140090).

Almost surely, 231334112342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31334112342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37350724320).

31334112342 is an abundant number, since it is smaller than the sum of its proper divisors (43367336298).

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

31334112342 is a wasteful number, since it uses less digits than its factorization.

31334112342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15718 (or 15715 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 31334112342 its reverse (24321143313), we get a palindrome (55655255655).

The spelling of 31334112342 in words is "thirty-one billion, three hundred thirty-four million, one hundred twelve thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 89 97 117 178 194 234 267 291 534 582 801 873 1157 1261 1602 1746 2314 2522 3471 3783 6942 7566 8633 10413 11349 15511 17266 20826 22698 25899 31022 46533 51798 77697 93066 112229 139599 155394 201643 224458 279198 336687 403286 604929 673374 1010061 1209858 1380479 1504567 1814787 2020122 2760958 3009134 3629574 4141437 4513701 8282874 9027402 12424311 13541103 17946227 19559371 24848622 27082206 35892454 39118742 53838681 58678113 107677362 117356226 133906463 161516043 176034339 267812926 323032086 352068678 401719389 803438778 1205158167 1740784019 2410316334 3481568038 5222352057 10444704114 15667056171 31334112342