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21330311320 = 23523712511301
BaseRepresentation
bin10011110111011000…
…101011100010011000
32001001112202002022101
4103313120223202120
5322141024430240
613444330333144
71353404440363
oct236730534230
961045662271
1021330311320
11905644a66a
12417358a1b4
13201c1964b6
141064c570da
1584c94739a
hex4f762b898

21330311320 has 128 divisors (see below), whose sum is σ = 51026734080. Its totient is φ = 8008000000.

The previous prime is 21330311287. The next prime is 21330311323. The reversal of 21330311320 is 2311303312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21330311323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16394670 + ... + 16395970.

It is an arithmetic number, because the mean of its divisors is an integer number (398646360).

Almost surely, 221330311320 is an apocalyptic number.

21330311320 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 21330311320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25513367040).

21330311320 is an abundant number, since it is smaller than the sum of its proper divisors (29696422760).

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

21330311320 is a wasteful number, since it uses less digits than its factorization.

21330311320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1657 (or 1653 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 21330311320 its reverse (2311303312), we get a palindrome (23641614632).

The spelling of 21330311320 in words is "twenty-one billion, three hundred thirty million, three hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 71 92 115 142 184 230 251 284 355 460 502 568 710 920 1004 1255 1301 1420 1633 2008 2510 2602 2840 3266 5020 5204 5773 6505 6532 8165 10040 10408 11546 13010 13064 16330 17821 23092 26020 28865 29923 32660 35642 46184 52040 57730 59846 65320 71284 89105 92371 115460 119692 142568 149615 178210 184742 230920 239384 299230 326551 356420 369484 409883 461855 598460 653102 712840 738968 819766 923710 1196920 1306204 1632755 1639532 1847420 2049415 2124533 2612408 3265510 3279064 3694840 4098830 4249066 6531020 7510673 8197660 8498132 10622665 13062040 15021346 16395320 16996264 21245330 23185121 30042692 37553365 42490660 46370242 60085384 75106730 84981320 92740484 115925605 150213460 185480968 231851210 300426920 463702420 533257783 927404840 1066515566 2133031132 2666288915 4266062264 5332577830 10665155660 21330311320