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220000113 = 3237660661
BaseRepresentation
bin11010001110011…
…10111101110001
3120022222011102100
431013032331301
5422310000423
633455211013
75310653514
oct1507167561
9508864370
10220000113
11103203383
1261816a69
133676a7a8
142130ad7b
15144aa343
hexd1cef71

220000113 has 12 divisors (see below), whose sum is σ = 326367028. Its totient is φ = 142702560.

The previous prime is 220000073. The next prime is 220000141. The reversal of 220000113 is 311000022.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 201441249 + 18558864 = 14193^2 + 4308^2 .

It is not a de Polignac number, because 220000113 - 212 = 219996017 is a prime.

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

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 220000095 and 220000104.

It is not an unprimeable number, because it can be changed into a prime (220000153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 329998 + ... + 330663.

Almost surely, 2220000113 is an apocalyptic number.

It is an amenable number.

220000113 is a deficient number, since it is larger than the sum of its proper divisors (106366915).

220000113 is a wasteful number, since it uses less digits than its factorization.

220000113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660704 (or 660701 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 220000113 is about 14832.4007834201. The cubic root of 220000113 is about 603.6811770373.

Adding to 220000113 its reverse (311000022), we get a palindrome (531000135).

Subtracting 220000113 from its reverse (311000022), we obtain a palindrome (90999909).

The spelling of 220000113 in words is "two hundred twenty million, one hundred thirteen", and thus it is an aban number.

Divisors: 1 3 9 37 111 333 660661 1981983 5945949 24444457 73333371 220000113