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220300101 = 3373173677
BaseRepresentation
bin11010010000110…
…00001101000101
3120100112101221000
431020120031011
5422344100401
633505443513
75313343230
oct1510301505
9510471830
10220300101
111033987aa
1261940599
13368441b8
1421388417
1514519186
hexd218345

220300101 has 32 divisors (see below), whose sum is σ = 374273280. Its totient is φ = 125454528.

The previous prime is 220300099. The next prime is 220300147. The reversal of 220300101 is 101003022.

It is a happy number.

It is not a de Polignac number, because 220300101 - 21 = 220300099 is a prime.

It is a super-2 number, since 2×2203001012 = 97064269001220402, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220300151) 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 31 ways as a sum of consecutive naturals, for example, 58075 + ... + 61751.

It is an arithmetic number, because the mean of its divisors is an integer number (11696040).

Almost surely, 2220300101 is an apocalyptic number.

220300101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

220300101 is a deficient number, since it is larger than the sum of its proper divisors (153973179).

220300101 is a wasteful number, since it uses less digits than its factorization.

220300101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4010 (or 4004 counting only the distinct ones).

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

The square root of 220300101 is about 14842.5099292539. The cubic root of 220300101 is about 603.9554418323.

Adding to 220300101 its reverse (101003022), we get a palindrome (321303123).

The spelling of 220300101 in words is "two hundred twenty million, three hundred thousand, one hundred one".

Divisors: 1 3 7 9 21 27 63 189 317 951 2219 2853 3677 6657 8559 11031 19971 25739 33093 59913 77217 99279 231651 694953 1165609 3496827 8159263 10490481 24477789 31471443 73433367 220300101