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21421021320 = 23335101196379
BaseRepresentation
bin10011111100110010…
…101101100010001000
32001021212102122001000
4103330302231202020
5322332240140240
613501330455000
71355555451126
oct237462554210
961255378030
1021421021320
1190a2676406
124199a34460
132034c0665a
141072d0a916
158558b4430
hex4fccad888

21421021320 has 128 divisors (see below), whose sum is σ = 72110736000. Its totient is φ = 5655686400.

The previous prime is 21421021291. The next prime is 21421021333. The reversal of 21421021320 is 2312012412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21421021293 and 21421021302.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 10891 + ... + 207269.

It is an arithmetic number, because the mean of its divisors is an integer number (563365125).

Almost surely, 221421021320 is an apocalyptic number.

21421021320 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 21421021320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36055368000).

21421021320 is an abundant number, since it is smaller than the sum of its proper divisors (50689714680).

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

21421021320 is a wasteful number, since it uses less digits than its factorization.

21421021320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196500 (or 196490 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 21421021320 its reverse (2312012412), we get a palindrome (23733033732).

The spelling of 21421021320 in words is "twenty-one billion, four hundred twenty-one million, twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 101 108 120 135 180 202 216 270 303 360 404 505 540 606 808 909 1010 1080 1212 1515 1818 2020 2424 2727 3030 3636 4040 4545 5454 6060 7272 9090 10908 12120 13635 18180 21816 27270 36360 54540 109080 196379 392758 589137 785516 981895 1178274 1571032 1767411 1963790 2356548 2945685 3534822 3927580 4713096 5302233 5891370 7069644 7855160 8837055 10604466 11782740 14139288 17674110 19834279 21208932 23565480 26511165 35348220 39668558 42417864 53022330 59502837 70696440 79337116 99171395 106044660 119005674 158674232 178508511 198342790 212089320 238011348 297514185 357017022 396685580 476022696 535525533 595028370 714034044 793371160 892542555 1071051066 1190056740 1428068088 1785085110 2142102132 2380113480 2677627665 3570170220 4284204264 5355255330 7140340440 10710510660 21421021320