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31112121124 = 22717313367569
BaseRepresentation
bin11100111110011011…
…010100101100100100
32222022020221111202101
4130332123110230210
51002204200333444
622143120421444
72150662444330
oct347633245444
988266844671
1031112121124
1112215a880a7
126043477884
132c1a8cac36
1417120207c0
15c215a63d4
hex73e6d4b24

31112121124 has 96 divisors (see below), whose sum is σ = 66391557120. Its totient is φ = 12453322752.

The previous prime is 31112121113. The next prime is 31112121151. The reversal of 31112121124 is 42112121113.

It is an unprimeable number.

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, 54678312 + ... + 54678880.

It is an arithmetic number, because the mean of its divisors is an integer number (691578720).

Almost surely, 231112121124 is an apocalyptic number.

31112121124 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31112121124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33195778560).

31112121124 is an abundant number, since it is smaller than the sum of its proper divisors (35279435996).

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

31112121124 is a wasteful number, since it uses less digits than its factorization.

31112121124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277 (or 1275 counting only the distinct ones).

The product of its digits is 96, while the sum is 19.

Adding to 31112121124 its reverse (42112121113), we get a palindrome (73224242237).

The spelling of 31112121124 in words is "thirty-one billion, one hundred twelve million, one hundred twenty-one thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 313 367 476 569 626 734 1138 1252 1468 2191 2276 2569 3983 4382 5138 5321 6239 7966 8764 9673 10276 10642 12478 15932 19346 21284 24956 37247 38692 43673 67711 74494 87346 114871 135422 148988 174692 178097 208823 229742 270844 356194 417646 459484 712388 804097 835292 1246679 1461761 1608194 1952807 2493358 2923522 3027649 3216388 3549991 3905614 4986716 5847044 6055298 7099982 7811228 12110596 13669649 14199964 21193543 24849937 27339298 42387086 49699874 54678596 65361599 84774172 99399748 130723198 261446396 457531193 915062386 1111147183 1830124772 2222294366 4444588732 7778030281 15556060562 31112121124