Search a number
-
+
12001113321100 = 2252238958627813
BaseRepresentation
bin1010111010100011101000…
…0110001010111010001100
31120111021222012222200020021
42232220322012022322030
53033111240002233400
641305122500231524
72346023530046431
oct256507206127214
946437865880207
1012001113321100
113907709668492
121419a9069b5a4
13690914255977
142d6bdd7c7b88
1515c29aa3871a
hexaea3a18ae8c

12001113321100 has 72 divisors (see below), whose sum is σ = 27480028978080. Its totient is φ = 4540137761280.

The previous prime is 12001113321097. The next prime is 12001113321137. The reversal of 12001113321100 is 112331110021.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29109207 + ... + 29518606.

It is an arithmetic number, because the mean of its divisors is an integer number (381667069140).

Almost surely, 212001113321100 is an apocalyptic number.

12001113321100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001113321100 is an abundant number, since it is smaller than the sum of its proper divisors (15478915656980).

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

12001113321100 is a wasteful number, since it uses less digits than its factorization.

12001113321100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58627939 (or 58627932 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 12001113321100 its reverse (112331110021), we get a palindrome (12113444431121).

The spelling of 12001113321100 in words is "twelve trillion, one billion, one hundred thirteen million, three hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 89 92 100 115 178 230 356 445 460 575 890 1150 1780 2047 2225 2300 4094 4450 8188 8900 10235 20470 40940 51175 102350 204700 58627813 117255626 234511252 293139065 586278130 1172556260 1348439699 1465695325 2696879398 2931390650 5217875357 5393758796 5862781300 6742198495 10435750714 13484396990 20871501428 26089376785 26968793980 33710992475 52178753570 67421984950 104357507140 120011133211 130446883925 134843969900 240022266422 260893767850 480044532844 521787535700 600055666055 1200111332110 2400222664220 3000278330275 6000556660550 12001113321100