Search a number
-
+
2120011110 = 233571121699
BaseRepresentation
bin111111001011100…
…1100110101100110
312110202011201112000
41332113030311212
513320210323420
6550211110130
7103351540260
oct17627146546
95422151460
102120011110
119987667a8
124b1ba2346
1327a2a6359
141617b8b30
15c61bb690
hex7e5ccd66

2120011110 has 64 divisors (see below), whose sum is σ = 6460992000. Its totient is φ = 484573536.

The previous prime is 2120011097. The next prime is 2120011111. The reversal of 2120011110 is 111100212.

It is a happy number.

It is a super-3 number, since 3×21200111103 (a number of 29 digits) contains 333 as substring.

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 = 2120011092 and 2120011101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120011111) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 558960 + ... + 562739.

It is an arithmetic number, because the mean of its divisors is an integer number (100953000).

Almost surely, 22120011110 is an apocalyptic number.

2120011110 is an abundant number, since it is smaller than the sum of its proper divisors (4340980890).

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

2120011110 is a wasteful number, since it uses less digits than its factorization.

2120011110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121722 (or 1121716 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 2120011110 is about 46043.5783796177. The cubic root of 2120011110 is about 1284.6339017742.

Adding to 2120011110 its reverse (111100212), we get a palindrome (2231111322).

The spelling of 2120011110 in words is "two billion, one hundred twenty million, eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1890 1121699 2243398 3365097 5608495 6730194 7851893 10095291 11216990 15703786 16825485 20190582 23555679 30285873 33650970 39259465 47111358 50476455 60571746 70667037 78518930 100952910 117778395 141334074 151429365 212001111 235556790 302858730 353335185 424002222 706670370 1060005555 2120011110