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21232123218 = 234216160649
BaseRepresentation
bin10011110001100010…
…000111110101010010
32000210200222121120000
4103301202013311102
5321440410420333
613430502030430
71351103032605
oct236142076522
960720877500
1021232123218
119005a86479
124146718416
132004a38627
141055bb833c
15843eee713
hex4f1887d52

21232123218 has 40 divisors (see below), whose sum is σ = 47598483900. Its totient is φ = 7073982720.

The previous prime is 21232123217. The next prime is 21232123223. The reversal of 21232123218 is 81232123212.

21232123218 is a `hidden beast` number, since 2 + 12 + 321 + 2 + 321 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19452717729 + 1779405489 = 139473^2 + 42183^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 21232123191 and 21232123200.

It is not an unprimeable number, because it can be changed into a prime (21232123217) 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 19 ways as a sum of consecutive naturals, for example, 319758 + ... + 380406.

Almost surely, 221232123218 is an apocalyptic number.

21232123218 is an abundant number, since it is smaller than the sum of its proper divisors (26366360682).

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

21232123218 is a wasteful number, since it uses less digits than its factorization.

21232123218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62824 (or 62815 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The spelling of 21232123218 in words is "twenty-one billion, two hundred thirty-two million, one hundred twenty-three thousand, two hundred eighteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 2161 4322 6483 12966 19449 38898 58347 60649 116694 121298 175041 181947 350082 363894 545841 1091682 1637523 3275046 4912569 9825138 131062489 262124978 393187467 786374934 1179562401 2359124802 3538687203 7077374406 10616061609 21232123218