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21321010320 = 243571217623
BaseRepresentation
bin10011110110110101…
…001100110010010000
32001000220020112201220
4103312311030302100
5322131134312240
613443355125040
71353232411641
oct236665146220
961026215656
1021321010320
119051177695
124170443780
13201a28ab4c
1410639156c8
1584bc0b5d0
hex4f6d4cc90

21321010320 has 120 divisors (see below), whose sum is σ = 67042964928. Its totient is φ = 5605205760.

The previous prime is 21321010283. The next prime is 21321010331. The reversal of 21321010320 is 2301012312.

It is a tau number, because it is divible by the number of its divisors (120).

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 21321010320.

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 23 ways as a sum of consecutive naturals, for example, 1201029 + ... + 1218651.

Almost surely, 221321010320 is an apocalyptic number.

21321010320 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 21321010320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33521482464).

21321010320 is an abundant number, since it is smaller than the sum of its proper divisors (45721954608).

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

21321010320 is a wasteful number, since it uses less digits than its factorization.

21321010320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17781 (or 17704 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 21321010320 its reverse (2301012312), we get a palindrome (23622022632).

The spelling of 21321010320 in words is "twenty-one billion, three hundred twenty-one million, ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 80 120 142 213 240 284 355 426 568 710 852 1065 1136 1420 1704 2130 2840 3408 4260 5041 5680 8520 10082 15123 17040 17623 20164 25205 30246 35246 40328 50410 52869 60492 70492 75615 80656 88115 100820 105738 120984 140984 151230 176230 201640 211476 241968 264345 281968 302460 352460 403280 422952 528690 604920 704920 845904 1057380 1209840 1251233 1409840 2114760 2502466 3753699 4229520 5004932 6256165 7507398 10009864 12512330 15014796 18768495 20019728 25024660 30029592 37536990 50049320 60059184 75073980 88837543 100098640 150147960 177675086 266512629 300295920 355350172 444187715 533025258 710700344 888375430 1066050516 1332563145 1421400688 1776750860 2132101032 2665126290 3553501720 4264202064 5330252580 7107003440 10660505160 21321010320