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21210010320 = 2435278931687
BaseRepresentation
bin10011110000001101…
…110001001011010000
32000202011101011100210
4103300031301023100
5321414230312240
613424352044120
71350414053532
oct236015611320
960664334323
1021210010320
118aa4552754
12413b233640
132000295585
141052c9d852
158420d2780
hex4f03712d0

21210010320 has 80 divisors (see below), whose sum is σ = 65776682880. Its totient is φ = 5653796352.

The previous prime is 21210010253. The next prime is 21210010333. The reversal of 21210010320 is 2301001212.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×212100103203 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 21210010296 and 21210010305.

It is a congruent number.

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, 653517 + ... + 685203.

It is an arithmetic number, because the mean of its divisors is an integer number (822208536).

Almost surely, 221210010320 is an apocalyptic number.

21210010320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21210010320 is an abundant number, since it is smaller than the sum of its proper divisors (44566672560).

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

21210010320 is a wasteful number, since it uses less digits than its factorization.

21210010320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34492 (or 34486 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 21210010320 its reverse (2301001212), we get a palindrome (23511011532).

The spelling of 21210010320 in words is "twenty-one billion, two hundred ten million, ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 2789 5578 8367 11156 13945 16734 22312 27890 31687 33468 41835 44624 55780 63374 66936 83670 95061 111560 126748 133872 158435 167340 190122 223120 253496 316870 334680 380244 475305 506992 633740 669360 760488 950610 1267480 1520976 1901220 2534960 3802440 7604880 88375043 176750086 265125129 353500172 441875215 530250258 707000344 883750430 1060500516 1325625645 1414000688 1767500860 2121001032 2651251290 3535001720 4242002064 5302502580 7070003440 10605005160 21210010320