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21303100320 = 253585751787
BaseRepresentation
bin10011110101110000…
…111000001110100000
32000222122112121211120
4103311300320032200
5322112043202240
613441515212240
71352624236125
oct236560701640
960878477746
1021303100320
119042054637
124166447080
132016659b08
1410613b274c
1584a36ead0
hex4f5c383a0

21303100320 has 96 divisors (see below), whose sum is σ = 67184365248. Its totient is φ = 5674088448.

The previous prime is 21303100289. The next prime is 21303100349. The reversal of 21303100320 is 2300130312.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×213031003203 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21303100320.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 385467 + ... + 437253.

It is an arithmetic number, because the mean of its divisors is an integer number (699837138).

Almost surely, 221303100320 is an apocalyptic number.

21303100320 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 21303100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33592182624).

21303100320 is an abundant number, since it is smaller than the sum of its proper divisors (45881264928).

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

21303100320 is a wasteful number, since it uses less digits than its factorization.

21303100320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52662 (or 52654 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 21303100320 its reverse (2300130312), we get a palindrome (23603230632).

The spelling of 21303100320 in words is "twenty-one billion, three hundred three million, one hundred thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 857 1714 2571 3428 4285 5142 6856 8570 10284 12855 13712 17140 20568 25710 27424 34280 41136 51420 51787 68560 82272 102840 103574 137120 155361 205680 207148 258935 310722 411360 414296 517870 621444 776805 828592 1035740 1242888 1553610 1657184 2071480 2485776 3107220 4142960 4971552 6214440 8285920 12428880 24857760 44381459 88762918 133144377 177525836 221907295 266288754 355051672 443814590 532577508 665721885 710103344 887629180 1065155016 1331443770 1420206688 1775258360 2130310032 2662887540 3550516720 4260620064 5325775080 7101033440 10651550160 21303100320