Search a number
-
+
211111300201104 = 243219223346011493
BaseRepresentation
bin110000000000000100101110…
…000011100111101010010000
31000200111001011111020202212100
4300000010232003213222100
5210132321420322413404
62024555105322400400
762316200551560312
oct6000045603475220
91020431144222770
10211111300201104
11612a2888337736
121b81694b360100
1390a49303884a4
143a1bbacd137b2
151961751a70d39
hexc0012e0e7a90

211111300201104 has 120 divisors (see below), whose sum is σ = 624702991727360. Its totient is φ = 66367772257536.

The previous prime is 211111300201097. The next prime is 211111300201133. The reversal of 211111300201104 is 401102003111112.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172395619 + ... + 173615874.

Almost surely, 2211111300201104 is an apocalyptic number.

211111300201104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

211111300201104 is an abundant number, since it is smaller than the sum of its proper divisors (413591691526256).

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

211111300201104 is a wasteful number, since it uses less digits than its factorization.

211111300201104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346011749 (or 346011740 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 211111300201104 its reverse (401102003111112), we get a palindrome (612213303312216).

The spelling of 211111300201104 in words is "two hundred eleven trillion, one hundred eleven billion, three hundred million, two hundred one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 223 228 304 342 446 456 669 684 892 912 1338 1368 1784 2007 2676 2736 3568 4014 4237 5352 8028 8474 10704 12711 16056 16948 25422 32112 33896 38133 50844 67792 76266 101688 152532 203376 305064 610128 346011493 692022986 1038034479 1384045972 2076068958 2768091944 3114103437 4152137916 5536183888 6228206874 6574218367 8304275832 12456413748 13148436734 16608551664 19722655101 24912827496 26296873468 39445310202 49825654992 52593746936 59167965303 77160562939 78890620404 105187493872 118335930606 154321125878 157781240808 231481688817 236671861212 308642251756 315562481616 462963377634 473343722424 617284503512 694445066451 925926755268 946687444848 1234569007024 1388890132902 1466050695841 1851853510536 2777780265804 2932101391682 3703707021072 4398152087523 5555560531608 5864202783364 8796304175046 11111121063216 11728405566728 13194456262569 17592608350092 23456811133456 26388912525138 35185216700184 52777825050276 70370433400368 105555650100552 211111300201104