Search a number
-
+
211101010000110 = 23351941150294347
BaseRepresentation
bin101111111111111011001000…
…101101100111100011101110
31000200110001121100102101211000
4233333323020231213203232
5210132134332030000420
62024550244251541130
762315354551400316
oct5777731055474356
91020401540371730
10211101010000110
116129948783139a
121b81495915a7a6
1390a3980521469
143a1b4b440c446
15196134d48c690
hexbffec8b678ee

211101010000110 has 64 divisors (see below), whose sum is σ = 592564238611200. Its totient is φ = 53330781472416.

The previous prime is 211101010000109. The next prime is 211101010000141. The reversal of 211101010000110 is 11000010101112.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 211101010000092 and 211101010000101.

It is a congruent number.

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, 20575142044 + ... + 20575152303.

It is an arithmetic number, because the mean of its divisors is an integer number (9258816228300).

Almost surely, 2211101010000110 is an apocalyptic number.

211101010000110 is an abundant number, since it is smaller than the sum of its proper divisors (381463228611090).

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

211101010000110 is a wasteful number, since it uses less digits than its factorization.

211101010000110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41150294382 (or 41150294376 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 211101010000110 its reverse (11000010101112), we get a palindrome (222101020101222).

The spelling of 211101010000110 in words is "two hundred eleven trillion, one hundred one billion, ten million, one hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 171 190 270 285 342 513 570 855 1026 1710 2565 5130 41150294347 82300588694 123450883041 205751471735 246901766082 370352649123 411502943470 617254415205 740705298246 781855592593 1111057947369 1234508830410 1563711185186 1851763245615 2222115894738 2345566777779 3703526491230 3909277962965 4691133555558 5555289736845 7036700333337 7818555925930 11110579473690 11727833888895 14073400666674 21110101000011 23455667777790 35183501666685 42220202000022 70367003333370 105550505000055 211101010000110