Search a number
-
+
31112222111310 = 2351724218523733
BaseRepresentation
bin1110001001011111000001…
…11100100111011001001110
311002011022002020211010000010
413010233200330213121032
513034220312330030220
6150100431343014050
76360532603346304
oct704574074473116
9132138066733003
1031112222111310
119a0568a31918a
1235a591029a326
131448b403a8742
14797ba7b6c274
1538e4787711e0
hex1c4be0f2764e

31112222111310 has 96 divisors (see below), whose sum is σ = 79508436093792. Its totient is φ = 7790009149440.

The previous prime is 31112222111303. The next prime is 31112222111371. The reversal of 31112222111310 is 1311122221113.

It is a super-2 number, since 2×311122221113102 (a number of 28 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, 611797 + ... + 7911936.

It is an arithmetic number, because the mean of its divisors is an integer number (828212875977).

Almost surely, 231112222111310 is an apocalyptic number.

31112222111310 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 31112222111310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39754218046896).

31112222111310 is an abundant number, since it is smaller than the sum of its proper divisors (48396213982482).

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

31112222111310 is a wasteful number, since it uses less digits than its factorization.

31112222111310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8524198 (or 8524181 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 31112222111310 its reverse (1311122221113), we get a palindrome (32423344332423).

The spelling of 31112222111310 in words is "thirty-one trillion, one hundred twelve billion, two hundred twenty-two million, one hundred eleven thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 289 421 510 578 842 867 1263 1445 1734 2105 2526 2890 4210 4335 6315 7157 8670 12630 14314 21471 35785 42942 71570 107355 121669 214710 243338 365007 608345 730014 1216690 1825035 3650070 8523733 17047466 25571199 42618665 51142398 85237330 127855995 144903461 255711990 289806922 434710383 724517305 869420766 1449034610 2173551915 2463358837 3588491593 4347103830 4926717674 7176983186 7390076511 10765474779 12316794185 14780153022 17942457965 21530949558 24633588370 35884915930 36950382555 53827373895 61004357081 73900765110 107654747790 122008714162 183013071243 305021785405 366026142486 610043570810 915065356215 1037074070377 1830130712430 2074148140754 3111222211131 5185370351885 6222444422262 10370740703770 15556111055655 31112222111310