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21033020320 = 2551353190793
BaseRepresentation
bin10011100101101010…
…100110101110100000
32000021211100010201121
4103211222212232200
5321033423122240
613355030342024
71343134502644
oct234552465640
960254303647
1021033020320
118a13656524
1240ababa914
131ca2706770
14103758ac24
158317c104a
hex4e5aa6ba0

21033020320 has 96 divisors (see below), whose sum is σ = 54522819792. Its totient is φ = 7619469312.

The previous prime is 21033020303. The next prime is 21033020321. The reversal of 21033020320 is 2302033012.

It can be written as a sum of positive squares in 8 ways, for example, as 11118437136 + 9914583184 = 105444^2 + 99572^2 .

It is a super-3 number, since 3×210330203203 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 21033020294 and 21033020303.

It is not an unprimeable number, because it can be changed into a prime (21033020321) by changing a digit.

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, 14844 + ... + 205636.

Almost surely, 221033020320 is an apocalyptic number.

21033020320 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 21033020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27261409896).

21033020320 is an abundant number, since it is smaller than the sum of its proper divisors (33489799472).

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

21033020320 is a wasteful number, since it uses less digits than its factorization.

21033020320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190874 (or 190866 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 21033020320 its reverse (2302033012), we get a palindrome (23335053332).

The spelling of 21033020320 in words is "twenty-one billion, thirty-three million, twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 53 65 80 104 106 130 160 208 212 260 265 416 424 520 530 689 848 1040 1060 1378 1696 2080 2120 2756 3445 4240 5512 6890 8480 11024 13780 22048 27560 55120 110240 190793 381586 763172 953965 1526344 1907930 2480309 3052688 3815860 4960618 6105376 7631720 9921236 10112029 12401545 15263440 19842472 20224058 24803090 30526880 39684944 40448116 49606180 50560145 79369888 80896232 99212360 101120290 131456377 161792464 198424720 202240580 262912754 323584928 396849440 404481160 525825508 657281885 808962320 1051651016 1314563770 1617924640 2103302032 2629127540 4206604064 5258255080 10516510160 21033020320