Search a number
-
+
31012313133123 = 32715146718673739
BaseRepresentation
bin1110000110100100111011…
…11010000111000001000011
311001210202012102110011012200
413003102131322013001003
513031101204130224443
6145542505430524243
76350365013140440
oct703223572070103
9131722172404180
1031012313133123
119977280302123
12358a488b06683
13143c5aa6b807a
1479300ac429c7
1538ba7c515dd3
hex1c349de87043

31012313133123 has 96 divisors (see below), whose sum is σ = 51685801390080. Its totient is φ = 17552161771200.

The previous prime is 31012313133101. The next prime is 31012313133163. The reversal of 31012313133123 is 32133131321013.

31012313133123 is a `hidden beast` number, since 3 + 1 + 0 + 1 + 2 + 31 + 313 + 312 + 3 = 666.

It is not a de Polignac number, because 31012313133123 - 224 = 31012296355907 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31012313133163) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8294278188 + ... + 8294281926.

It is an arithmetic number, because the mean of its divisors is an integer number (538393764480).

Almost surely, 231012313133123 is an apocalyptic number.

31012313133123 is a deficient number, since it is larger than the sum of its proper divisors (20673488256957).

31012313133123 is a wasteful number, since it uses less digits than its factorization.

31012313133123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6237 (or 6234 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 31012313133123 its reverse (32133131321013), we get a palindrome (63145444454136).

The spelling of 31012313133123 in words is "thirty-one trillion, twelve billion, three hundred thirteen million, one hundred thirty-three thousand, one hundred twenty-three".

Divisors: 1 3 7 9 21 63 151 453 467 1057 1359 1401 1867 3171 3269 3739 4203 5601 9513 9807 11217 13069 16803 26173 29421 33651 39207 70517 78519 117621 211551 235557 281917 493619 564589 634653 845751 871889 1480857 1693767 1746113 1973419 2537253 2615667 3952123 4442571 5081301 5238339 5920257 6103223 6980713 7847001 11856369 12222791 15715017 17760771 18309669 20942139 35569107 36668373 48864991 54929007 62826417 110005119 131655239 146594973 263663063 394965717 439784919 790989189 921586673 1054087663 1184897151 1845641441 2372967567 2764760019 3162262989 3259992971 5536924323 7378613641 8294280057 9486788967 9779978913 16610772969 22135840923 22819950797 29339936739 66407522769 68459852391 205379557173 492258938621 1476776815863 3445812570347 4430330447589 10337437711041 31012313133123