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220101 = 3747223
BaseRepresentation
bin110101101111000101
3102011220220
4311233011
524020401
64414553
71604460
oct655705
9364826
10220101
11140402
12a7459
137924b
145a2d7
1545336
hex35bc5

220101 has 16 divisors (see below), whose sum is σ = 344064. Its totient is φ = 122544.

The previous prime is 220063. The next prime is 220123. The reversal of 220101 is 101022.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-220101 is a prime.

220101 is a modest number, since divided by 101 gives 22 as remainder.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 220101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 876 + ... + 1098.

It is an arithmetic number, because the mean of its divisors is an integer number (21504).

2220101 is an apocalyptic number.

220101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

220101 is a deficient number, since it is larger than the sum of its proper divisors (123963).

220101 is a wasteful number, since it uses less digits than its factorization.

220101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280.

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 220101 is about 469.1492299898. The cubic root of 220101 is about 60.3773441044.

Adding to 220101 its reverse (101022), we get a palindrome (321123).

The spelling of 220101 in words is "two hundred twenty thousand, one hundred one", and thus it is an iban number.

Divisors: 1 3 7 21 47 141 223 329 669 987 1561 4683 10481 31443 73367 220101