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113333013011020 = 225113478737169919
BaseRepresentation
bin11001110001001101100101…
…111110110101101001001100
3112212021112022112112210210011
4121301031211332311221030
5104323322002312323040
61041012244543523004
732605016466620665
oct3161154576655114
9485245275483704
10113333013011020
1133125296293a50
12108648448b9464
134b313462b37ba
141ddb4c061636c
15d180b9a033ea
hex671365fb5a4c

113333013011020 has 96 divisors (see below), whose sum is σ = 260415194296320. Its totient is φ = 41088292976640.

The previous prime is 113333013010927. The next prime is 113333013011051. The reversal of 113333013011020 is 20110310333311.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 113333013010982 and 113333013011000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 666897621 + ... + 667067539.

It is an arithmetic number, because the mean of its divisors is an integer number (2712658273920).

Almost surely, 2113333013011020 is an apocalyptic number.

113333013011020 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 113333013011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130207597148160).

113333013011020 is an abundant number, since it is smaller than the sum of its proper divisors (147082181285300).

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

113333013011020 is a wasteful number, since it uses less digits than its factorization.

113333013011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179023 (or 179021 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 113333013011020 its reverse (20110310333311), we get a palindrome (133443323344331).

The spelling of 113333013011020 in words is "one hundred thirteen trillion, three hundred thirty-three billion, thirteen million, eleven thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 347 694 1388 1735 3470 3817 6940 7634 8737 15268 17474 19085 34948 38170 43685 76340 87370 96107 169919 174740 192214 339838 384428 480535 679676 849595 961070 1699190 1869109 1922140 3031739 3398380 3738218 6063478 7476436 9345545 12126956 15158695 18691090 30317390 33349129 37382180 58961893 60634780 66698258 117923786 133396516 166745645 235847572 294809465 333491290 589618930 648580823 666982580 1179237860 1297161646 1484582303 2594323292 2969164606 3242904115 5938329212 6485808230 7422911515 12971616460 14845823030 16330405333 29691646060 32660810666 65321621332 81652026665 163304053330 326608106660 515150059141 1030300118282 2060600236564 2575750295705 5151500591410 5666650650551 10303001182820 11333301301102 22666602602204 28333253252755 56666506505510 113333013011020