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31112112330 = 232513244710867
BaseRepresentation
bin11100111110011011…
…010010100011001010
32222022020221001200200
4130332123102203022
51002204200043310
622143120313030
72150662406565
oct347633224312
988266831620
1031112112330
1112215a81532
126043472776
132c1a8c6c30
14171201b4dc
15c215a39c0
hex73e6d28ca

31112112330 has 96 divisors (see below), whose sum is σ = 87157534464. Its totient is φ = 7654531968.

The previous prime is 31112112319. The next prime is 31112112359. The reversal of 31112112330 is 3321121113.

31112112330 is a `hidden beast` number, since 311 + 1 + 21 + 1 + 2 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 2857557 + ... + 2868423.

It is an arithmetic number, because the mean of its divisors is an integer number (907890984).

Almost surely, 231112112330 is an apocalyptic number.

31112112330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31112112330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43578767232).

31112112330 is an abundant number, since it is smaller than the sum of its proper divisors (56045422134).

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

31112112330 is a wasteful number, since it uses less digits than its factorization.

31112112330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13340 (or 13337 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 31112112330 its reverse (3321121113), we get a palindrome (34433233443).

The spelling of 31112112330 in words is "thirty-one billion, one hundred twelve million, one hundred twelve thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 2447 4894 7341 10867 12235 14682 21734 22023 24470 31811 32601 36705 44046 54335 63622 65202 73410 95433 97803 108670 110115 141271 159055 163005 190866 195606 220230 282542 286299 318110 326010 423813 477165 489015 572598 706355 847626 954330 978030 1271439 1412710 1431495 2119065 2542878 2862990 4238130 6357195 12714390 26591549 53183098 79774647 132957745 159549294 239323941 265915490 345690137 398873235 478647882 691380274 797746470 1037070411 1196619705 1728450685 2074140822 2393239410 3111211233 3456901370 5185352055 6222422466 10370704110 15556056165 31112112330