Search a number
-
+
31123012312 = 23743102112659
BaseRepresentation
bin11100111111000100…
…110111101011011000
32222100000102211122201
4130333010313223120
51002214442343222
622144150055544
72151154145140
oct347704675330
988300384581
1031123012312
1112221146887
12604704a5b4
132c1cc42322
141713657920
15c22508427
hex73f137ad8

31123012312 has 64 divisors (see below), whose sum is σ = 68315385600. Its totient is φ = 13014449280.

The previous prime is 31123012267. The next prime is 31123012313. The reversal of 31123012312 is 21321032113.

It is a self number, because there is not a number n which added to its sum of digits gives 31123012312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31123012313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2452239 + ... + 2464897.

It is an arithmetic number, because the mean of its divisors is an integer number (1067427900).

Almost surely, 231123012312 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 31123012312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34157692800).

31123012312 is an abundant number, since it is smaller than the sum of its proper divisors (37192373288).

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

31123012312 is a wasteful number, since it uses less digits than its factorization.

31123012312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13736 (or 13732 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 31123012312 its reverse (21321032113), we get a palindrome (52444044425).

The spelling of 31123012312 in words is "thirty-one billion, one hundred twenty-three million, twelve thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 43 56 86 172 301 344 602 1021 1204 2042 2408 4084 7147 8168 12659 14294 25318 28588 43903 50636 57176 87806 88613 101272 175612 177226 307321 351224 354452 544337 614642 708904 1088674 1229284 2177348 2458568 3810359 4354696 7620718 12924839 15241436 25849678 30482872 51699356 90473873 103398712 180947746 361895492 555768077 723790984 1111536154 2223072308 3890376539 4446144616 7780753078 15561506156 31123012312