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21210132320 = 2551313973361
BaseRepresentation
bin10011110000001110…
…001110111101100000
32000202011121100201022
4103300032032331200
5321414243213240
613424354425012
71350415102316
oct236016167540
960664540638
1021210132320
118aa4626383
12413b292168
132000308c70
141052cd20b6
158421089b5
hex4f038ef60

21210132320 has 96 divisors (see below), whose sum is σ = 54352438560. Its totient is φ = 7774986240.

The previous prime is 21210132299. The next prime is 21210132343. The reversal of 21210132320 is 2323101212.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 252440 + ... + 325800.

It is an arithmetic number, because the mean of its divisors is an integer number (566171235).

Almost surely, 221210132320 is an apocalyptic number.

21210132320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21210132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27176219280).

21210132320 is an abundant number, since it is smaller than the sum of its proper divisors (33142306240).

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

21210132320 is a wasteful number, since it uses less digits than its factorization.

21210132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73528 (or 73520 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 21210132320 its reverse (2323101212), we get a palindrome (23533233532).

The spelling of 21210132320 in words is "twenty-one billion, two hundred ten million, one hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 139 160 208 260 278 416 520 556 695 1040 1112 1390 1807 2080 2224 2780 3614 4448 5560 7228 9035 11120 14456 18070 22240 28912 36140 57824 72280 73361 144560 146722 289120 293444 366805 586888 733610 953693 1173776 1467220 1907386 2347552 2934440 3814772 4768465 5868880 7629544 9536930 10197179 11737760 15259088 19073860 20394358 30518176 38147720 40788716 50985895 76295440 81577432 101971790 132563327 152590880 163154864 203943580 265126654 326309728 407887160 530253308 662816635 815774320 1060506616 1325633270 1631548640 2121013232 2651266540 4242026464 5302533080 10605066160 21210132320