Search a number
-
+
113331212031000 = 23353109609344653
BaseRepresentation
bin11001110001001011111010…
…101000101001010000011000
3112212021100200000200112122110
4121301023322220221100120
5104323304310234443000
61041011350130352320
732604624040552245
oct3161137250512030
9485240600615573
10113331212031000
1133124551720007
121086442172b6a0
134b3111a13c652
141ddb38d3665cc
15d18011854850
hex6712faa29418

113331212031000 has 128 divisors (see below), whose sum is σ = 353597633438400. Its totient is φ = 30221293132800.

The previous prime is 113331212030999. The next prime is 113331212031007. The reversal of 113331212031000 is 130212133311.

It is a happy number.

It is a super-2 number, since 2×1133312120310002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113331212031007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 328654674 + ... + 328999326.

Almost surely, 2113331212031000 is an apocalyptic number.

113331212031000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113331212031000 is an abundant number, since it is smaller than the sum of its proper divisors (240266421407400).

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

113331212031000 is a wasteful number, since it uses less digits than its factorization.

113331212031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454286 (or 454272 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 113331212031000 its reverse (130212133311), we get a palindrome (113461424164311).

The spelling of 113331212031000 in words is "one hundred thirteen trillion, three hundred thirty-one billion, two hundred twelve million, thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 109609 219218 328827 344653 438436 548045 657654 689306 876872 1033959 1096090 1315308 1378612 1644135 1723265 2067918 2192180 2630616 2740225 2757224 3288270 3446530 4135836 4384360 5169795 5480450 6576540 6893060 8220675 8271672 8616325 10339590 10960900 13153080 13701125 13786120 16441350 17232650 20679180 21921800 25848975 27402250 32882700 34465300 41103375 41358360 43081625 51697950 54804500 65765400 68930600 82206750 86163250 103395900 109609000 129244875 164413500 172326500 206791800 258489750 328827000 344653000 516979500 1033959000 37777070677 75554141354 113331212031 151108282708 188885353385 226662424062 302216565416 377770706770 453324848124 566656060155 755541413540 906649696248 944426766925 1133312120310 1511082827080 1888853533850 2266624240620 2833280300775 3777707067700 4533248481240 4722133834625 5666560601550 7555414135400 9444267669250 11333121203100 14166401503875 18888535338500 22666242406200 28332803007750 37777070677000 56665606015500 113331212031000