Search a number
-
+
211100000200120 = 23547359312777811
BaseRepresentation
bin101111111111111010001100…
…100001100010010110111000
31000200102221222222022020122101
4233333322030201202112320
5210132130300022400440
62024550000140233144
762315320540262113
oct5777721441422670
91020387888266571
10211100000200120
1161299009824749
121b814716b3b7b4
1390a384c262785
143a1b41a26d57a
1519612de9c269a
hexbffe8c8625b8

211100000200120 has 64 divisors (see below), whose sum is σ = 486432053222400. Its totient is φ = 82413199601280.

The previous prime is 211100000200091. The next prime is 211100000200147. The reversal of 211100000200120 is 21002000001112.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 211100000200097 and 211100000200106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155713986 + ... + 157063825.

It is an arithmetic number, because the mean of its divisors is an integer number (7600500831600).

Almost surely, 2211100000200120 is an apocalyptic number.

211100000200120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211100000200120 is an abundant number, since it is smaller than the sum of its proper divisors (275332053022280).

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

211100000200120 is a wasteful number, since it uses less digits than its factorization.

211100000200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312778228 (or 312778224 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 211100000200120 its reverse (21002000001112), we get a palindrome (232102000201232).

The spelling of 211100000200120 in words is "two hundred eleven trillion, one hundred billion, two hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 359 376 470 718 940 1436 1795 1880 2872 3590 7180 14360 16873 33746 67492 84365 134984 168730 337460 674920 312777811 625555622 1251111244 1563889055 2502222488 3127778110 6255556220 12511112440 14700557117 29401114234 58802228468 73502785585 112287234149 117604456936 147005571170 224574468298 294011142340 449148936596 561436170745 588022284680 898297873192 1122872341490 2245744682980 4491489365960 5277500005003 10555000010006 21110000020012 26387500025015 42220000040024 52775000050030 105550000100060 211100000200120