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21211123320 = 233456546643
BaseRepresentation
bin10011110000010010…
…000000111001111000
32000202020110201010000
4103300102000321320
5321420021421240
613424431553000
71350426400452
oct236022007170
960666421100
1021211123320
118aa5142992
12413b68b760
13200059505a
1410530ad2d2
15842252430
hex4f0480e78

21211123320 has 80 divisors (see below), whose sum is σ = 71292953160. Its totient is φ = 5656298688.

The previous prime is 21211123301. The next prime is 21211123321. The reversal of 21211123320 is 2332111212.

21211123320 is a `hidden beast` number, since 212 + 11 + 123 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21211123293 and 21211123302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21211123321) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3270082 + ... + 3276561.

Almost surely, 221211123320 is an apocalyptic number.

21211123320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21211123320 is an abundant number, since it is smaller than the sum of its proper divisors (50081829840).

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

21211123320 is a wasteful number, since it uses less digits than its factorization.

21211123320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6546666 (or 6546653 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21211123320 its reverse (2332111212), we get a palindrome (23543234532).

The spelling of 21211123320 in words is "twenty-one billion, two hundred eleven million, one hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 6546643 13093286 19639929 26186572 32733215 39279858 52373144 58919787 65466430 78559716 98199645 117839574 130932860 157119432 176759361 196399290 235679148 261865720 294598935 353518722 392798580 471358296 530278083 589197870 707037444 785597160 883796805 1060556166 1178395740 1414074888 1767593610 2121112332 2356791480 2651390415 3535187220 4242224664 5302780830 7070374440 10605561660 21211123320