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221013012 = 223113154011
BaseRepresentation
bin11010010110001…
…10010000010100
3120101212121212010
431023012100110
5423034404022
633533024220
75322402543
oct1513062024
9511777763
10221013012
11103835390
1262025070
1336a3383c
14214d215a
151460a50c
hexd2c6414

221013012 has 48 divisors (see below), whose sum is σ = 580737024. Its totient is φ = 64812000.

The previous prime is 221013011. The next prime is 221013017. The reversal of 221013012 is 210310122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221013011) 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, 22914 + ... + 31097.

It is an arithmetic number, because the mean of its divisors is an integer number (12098688).

Almost surely, 2221013012 is an apocalyptic number.

221013012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

221013012 is an abundant number, since it is smaller than the sum of its proper divisors (359724012).

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

221013012 is a wasteful number, since it uses less digits than its factorization.

221013012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54060 (or 54058 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 221013012 is about 14866.5063817966. The cubic root of 221013012 is about 604.6062251026.

Adding to 221013012 its reverse (210310122), we get a palindrome (431323134).

The spelling of 221013012 in words is "two hundred twenty-one million, thirteen thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 341 372 682 1023 1364 2046 4092 54011 108022 162033 216044 324066 594121 648132 1188242 1674341 1782363 2376484 3348682 3564726 5023023 6697364 7129452 10046046 18417751 20092092 36835502 55253253 73671004 110506506 221013012