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21232321300 = 2252838393049
BaseRepresentation
bin10011110001100010…
…111000001100010100
32000210201100200021101
4103301202320030110
5321440433240200
613430510155444
71351104516241
oct236142701424
960721320241
1021232321300
119006101283
1241467b2b84
132004aa7838
141055c2a5c8
1584403d26a
hex4f18b8314

21232321300 has 72 divisors (see below), whose sum is σ = 46700136000. Its totient is φ = 8377854720.

The previous prime is 21232321291. The next prime is 21232321379. The reversal of 21232321300 is 312323212.

It is a super-2 number, since 2×212323213002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6962176 + ... + 6965224.

It is an arithmetic number, because the mean of its divisors is an integer number (648613000).

Almost surely, 221232321300 is an apocalyptic number.

21232321300 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 21232321300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23350068000).

21232321300 is an abundant number, since it is smaller than the sum of its proper divisors (25467814700).

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

21232321300 is a wasteful number, since it uses less digits than its factorization.

21232321300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3985 (or 3978 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 21232321300 its reverse (312323212), we get a palindrome (21544644512).

The spelling of 21232321300 in words is "twenty-one billion, two hundred thirty-two million, three hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 83 100 166 332 415 830 839 1660 1678 2075 3049 3356 4150 4195 6098 8300 8390 12196 15245 16780 20975 30490 41950 60980 69637 76225 83900 139274 152450 253067 278548 304900 348185 506134 696370 1012268 1265335 1392740 1740925 2530670 2558111 3481850 5061340 5116222 6326675 6963700 10232444 12653350 12790555 25306700 25581110 51162220 63952775 127905550 212323213 255811100 424646426 849292852 1061616065 2123232130 4246464260 5308080325 10616160650 21232321300