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113233330202320 = 24541592179268529
BaseRepresentation
bin11001101111110000110000…
…011011000110011011010000
3112211221000000110202110012101
4121233300300123012123100
5104320203330012433240
61040454401311210144
732564560324002316
oct3157606033063320
9484830013673171
10113233330202320
1133096a92a04419
1210849465216954
134b24b1b410a23
141dd67457620b6
15d156d357139a
hex66fc306c66d0

113233330202320 has 160 divisors (see below), whose sum is σ = 274386531888000. Its totient is φ = 43419559772160.

The previous prime is 113233330202273. The next prime is 113233330202329. The reversal of 113233330202320 is 23202033332311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113233330202329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 421545816 + ... + 421814344.

It is an arithmetic number, because the mean of its divisors is an integer number (1714915824300).

Almost surely, 2113233330202320 is an apocalyptic number.

113233330202320 is a gapful number since it is divisible by the number (10) 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 113233330202320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137193265944000).

113233330202320 is an abundant number, since it is smaller than the sum of its proper divisors (161153201685680).

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

113233330202320 is a wasteful number, since it uses less digits than its factorization.

113233330202320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270821 (or 270815 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 28.

Adding to 113233330202320 its reverse (23202033332311), we get a palindrome (136435363534631).

The spelling of 113233330202320 in words is "one hundred thirteen trillion, two hundred thirty-three billion, three hundred thirty million, two hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 41 59 80 82 118 164 205 236 295 328 410 472 590 656 820 944 1180 1640 2179 2360 2419 3280 4358 4720 4838 8716 9676 10895 12095 17432 19352 21790 24190 34864 38704 43580 48380 87160 89339 96760 128561 174320 178678 193520 257122 268529 357356 446695 514244 537058 642805 714712 893390 1028488 1074116 1285610 1342645 1429424 1786780 2056976 2148232 2571220 2685290 3573560 4296464 5142440 5271001 5370580 7147120 10284880 10542002 10741160 11009689 15843211 21084004 21482320 22019378 26355005 31686422 42168008 44038756 52710010 55048445 63372844 79216055 84336016 88077512 105420020 110096890 126745688 158432110 176155024 210840040 220193780 253491376 316864220 421680080 440387560 585124691 633728440 649571651 880775120 1170249382 1267456880 1299143302 2340498764 2598286604 2925623455 3247858255 4680997528 5196573208 5851246910 6495716510 9361995056 10393146416 11702493820 12991433020 23404987640 23990112331 25982866040 34522356769 46809975280 47980224662 51965732080 69044713538 95960449324 119950561655 138089427076 172611783845 191920898648 239901123310 276178854152 345223567690 383841797296 479802246620 552357708304 690447135380 959604493240 1380894270760 1415416627529 1919208986480 2761788541520 2830833255058 5661666510116 7077083137645 11323333020232 14154166275290 22646666040464 28308332550580 56616665101160 113233330202320