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21330323020 = 22519294741183
BaseRepresentation
bin10011110111011000…
…101110011001001100
32001001112202200100201
4103313120232121030
5322141030314040
613444330503244
71353404516446
oct236730563114
961045680321
1021330323020
119056458436
124173594b24
13201c19b916
141064c5b496
1584c94aa9a
hex4f762e64c

21330323020 has 96 divisors (see below), whose sum is σ = 49816166400. Its totient is φ = 7638107904.

The previous prime is 21330322987. The next prime is 21330323023. The reversal of 21330323020 is 2032303312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (21330323023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 497349 + ... + 538531.

It is an arithmetic number, because the mean of its divisors is an integer number (518918400).

Almost surely, 221330323020 is an apocalyptic number.

21330323020 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 21330323020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24908083200).

21330323020 is an abundant number, since it is smaller than the sum of its proper divisors (28485843380).

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

21330323020 is a wasteful number, since it uses less digits than its factorization.

21330323020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41287 (or 41285 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 21330323020 its reverse (2032303312), we get a palindrome (23362626332).

The spelling of 21330323020 in words is "twenty-one billion, three hundred thirty million, three hundred twenty-three thousand, twenty".

Divisors: 1 2 4 5 10 19 20 29 38 47 58 76 94 95 116 145 188 190 235 290 380 470 551 580 893 940 1102 1363 1786 2204 2726 2755 3572 4465 5452 5510 6815 8930 11020 13630 17860 25897 27260 41183 51794 82366 103588 129485 164732 205915 258970 411830 517940 782477 823660 1194307 1564954 1935601 2388614 3129908 3871202 3912385 4777228 5971535 7742404 7824770 9678005 11943070 15649540 19356010 22691833 23886140 36776419 38712020 45383666 56132429 73552838 90767332 112264858 113459165 147105676 183882095 224529716 226918330 280662145 367764190 453836660 561324290 735528380 1066516151 1122648580 2133032302 4266064604 5332580755 10665161510 21330323020