Search a number
-
+
211112112110120 = 235137165912836763
BaseRepresentation
bin110000000000000101011110…
…011100110011101000101000
31000200111010021002000000122122
4300000011132130303220220
5210132330101200010440
62024555322044410412
762316226640644064
oct6000053634635050
91020433232000578
10211112112110120
11612a3164671a21
121b816b37246a08
1390a4a2c64ab20
143a1bc48a9caa4
15196179ce9b7b5
hexc0015e733a28

211112112110120 has 256 divisors, whose sum is σ = 520014674995200. Its totient is φ = 76663449031680.

The previous prime is 211112112110093. The next prime is 211112112110177. The reversal of 211112112110120 is 21011211211112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31215745859 + ... + 31215752621.

It is an arithmetic number, because the mean of its divisors is an integer number (2031307324200).

Almost surely, 2211112112110120 is an apocalyptic number.

211112112110120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211112112110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260007337497600).

211112112110120 is an abundant number, since it is smaller than the sum of its proper divisors (308902562885080).

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

211112112110120 is a wasteful number, since it uses less digits than its factorization.

211112112110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8800 (or 8796 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 211112112110120 its reverse (21011211211112), we get a palindrome (232123323321232).

The spelling of 211112112110120 in words is "two hundred eleven trillion, one hundred twelve billion, one hundred twelve million, one hundred ten thousand, one hundred twenty".