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21420323320 = 23511472114909
BaseRepresentation
bin10011111100110000…
…000011000111111000
32001021211010011120011
4103330300003013320
5322332100321240
613501303511304
71355546513134
oct237460030770
961254104504
1021420323320
1190a2239a50
124199758534
132034a20a36
141072ba83c4
158557c76ea
hex4fcc031f8

21420323320 has 128 divisors (see below), whose sum is σ = 53961292800. Its totient is φ = 7585804800.

The previous prime is 21420323311. The next prime is 21420323329. The reversal of 21420323320 is 2332302412.

It is an interprime number because it is at equal distance from previous prime (21420323311) and next prime (21420323329).

It is a super-2 number, since 2×214203233202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 21420323291 and 21420323300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21420323329) 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 31 ways as a sum of consecutive naturals, for example, 4361026 + ... + 4365934.

It is an arithmetic number, because the mean of its divisors is an integer number (421572600).

Almost surely, 221420323320 is an apocalyptic number.

21420323320 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 21420323320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26980646400).

21420323320 is an abundant number, since it is smaller than the sum of its proper divisors (32540969480).

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

21420323320 is a wasteful number, since it uses less digits than its factorization.

21420323320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5189 (or 5185 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 21420323320 its reverse (2332302412), we get a palindrome (23752625732).

The spelling of 21420323320 in words is "twenty-one billion, four hundred twenty million, three hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 47 55 88 94 110 188 211 220 235 376 422 440 470 517 844 940 1034 1055 1688 1880 2068 2110 2321 2585 4136 4220 4642 4909 5170 8440 9284 9818 9917 10340 11605 18568 19636 19834 20680 23210 24545 39272 39668 46420 49090 49585 53999 79336 92840 98180 99170 107998 109087 196360 198340 215996 218174 230723 269995 396680 431992 436348 461446 539990 545435 872696 922892 1035799 1079980 1090870 1153615 1845784 2071598 2159960 2181740 2307230 2537953 4143196 4363480 4614460 5075906 5178995 8286392 9228920 10151812 10357990 11393789 12689765 20303624 20715980 22787578 25379530 41431960 45575156 48682553 50759060 56968945 91150312 97365106 101518120 113937890 194730212 227875780 243412765 389460424 455751560 486825530 535508083 973651060 1071016166 1947302120 2142032332 2677540415 4284064664 5355080830 10710161660 21420323320