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21232123220 = 22571129475417
BaseRepresentation
bin10011110001100010…
…000111110101010100
32000210200222121120002
4103301202013311110
5321440410420340
613430502030432
71351103032610
oct236142076524
960720877502
1021232123220
119005a86480
124146718418
132004a38629
141055bb8340
15843eee715
hex4f1887d54

21232123220 has 96 divisors (see below), whose sum is σ = 57506561280. Its totient is φ = 6389591040.

The previous prime is 21232123217. The next prime is 21232123223. The reversal of 21232123220 is 2232123212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21232123217) and next prime (21232123223).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 21232123192 and 21232123201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21232123223) 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 31 ways as a sum of consecutive naturals, for example, 193049 + ... + 282368.

It is an arithmetic number, because the mean of its divisors is an integer number (599026680).

Almost surely, 221232123220 is an apocalyptic number.

21232123220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21232123220 is an abundant number, since it is smaller than the sum of its proper divisors (36274438060).

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

21232123220 is a wasteful number, since it uses less digits than its factorization.

21232123220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475473 (or 475471 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 21232123220 its reverse (2232123212), we get a palindrome (23464246432).

The spelling of 21232123220 in words is "twenty-one billion, two hundred thirty-two million, one hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 29 35 44 55 58 70 77 110 116 140 145 154 203 220 290 308 319 385 406 580 638 770 812 1015 1276 1540 1595 2030 2233 3190 4060 4466 6380 8932 11165 22330 44660 475417 950834 1901668 2377085 3327919 4754170 5229587 6655838 9508340 10459174 13311676 13787093 16639595 20918348 26147935 27574186 33279190 36607109 52295870 55148372 66558380 68935465 73214218 96509651 104591740 137870930 146428436 151658023 183035545 193019302 275741860 303316046 366071090 386038604 482548255 606632092 732142180 758290115 965096510 1061606161 1516580230 1930193020 2123212322 3033160460 4246424644 5308030805 10616061610 21232123220