Search a number
-
+
211227731741112 = 233331659130730871
BaseRepresentation
bin110000000001110001001001…
…111010101100100110111000
31000200220011200210201211111220
4300001301021322230212320
5210141223343311203422
62025124402542352040
762330462050412262
oct6001611172544670
91020804623654456
10211227731741112
11613381a5965a69
121b835423b8b620
1390b28c7186668
143a2369635ab32
1519647b85e4e5c
hexc01c49eac9b8

211227731741112 has 128 divisors (see below), whose sum is σ = 530891508787200. Its totient is φ = 70034112086400.

The previous prime is 211227731741023. The next prime is 211227731741113. The reversal of 211227731741112 is 211147137722112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211227731741113) 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, 6842255037 + ... + 6842285907.

It is an arithmetic number, because the mean of its divisors is an integer number (4147589912400).

Almost surely, 2211227731741112 is an apocalyptic number.

It is an amenable number.

211227731741112 is an abundant number, since it is smaller than the sum of its proper divisors (319663777046088).

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

211227731741112 is a wasteful number, since it uses less digits than its factorization.

211227731741112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33177 (or 33173 counting only the distinct ones).

The product of its digits is 65856, while the sum is 42.

The spelling of 211227731741112 in words is "two hundred eleven trillion, two hundred twenty-seven billion, seven hundred thirty-one million, seven hundred forty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 331 659 662 993 1307 1318 1324 1977 1986 2614 2636 2648 3921 3954 3972 5228 5272 7842 7908 7944 10456 15684 15816 30871 31368 61742 92613 123484 185226 218129 246968 370452 432617 436258 654387 740904 861313 865234 872516 1297851 1308774 1722626 1730468 1745032 2583939 2595702 2617548 3445252 3460936 5167878 5191404 5235096 6890504 10218301 10335756 10382808 20343989 20436602 20671512 30654903 40348397 40687978 40873204 61031967 61309806 80696794 81375956 81746408 121045191 122063934 122619612 161393588 162751912 242090382 244127868 245239224 285094603 322787176 484180764 488255736 570189206 855283809 968361528 1140378412 1710567618 2280756824 3421135236 6733860359 6842270472 13355319407 13467720718 20201581077 26589593623 26710638814 26935441436 40065958221 40403162154 53179187246 53421277628 53870882872 79768780869 80131916442 80806324308 106358374492 106842555256 159537561738 160263832884 161612648616 212716748984 319075123476 320527665768 638150246952 8801155489213 17602310978426 26403466467639 35204621956852 52806932935278 70409243913704 105613865870556 211227731741112