Search a number
-
+
21303322020 = 22325374178017
BaseRepresentation
bin10011110101110001…
…101110010110100100
32000222122221212221200
4103311301232112210
5322112122301040
613441524042500
71352626151361
oct236561562644
960878855850
1021303322020
119042196162
124166533430
1320167069b6
14106142d468
1584a3b5630
hex4f5c6e5a4

21303322020 has 144 divisors (see below), whose sum is σ = 67986133488. Its totient is φ = 5392465920.

The previous prime is 21303321997. The next prime is 21303322031. The reversal of 21303322020 is 2022330312.

It is a happy number.

21303322020 is a `hidden beast` number, since 2 + 130 + 332 + 202 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5086827684 + 16216494336 = 71322^2 + 127344^2 .

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 = 21303321984 and 21303322002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 234052 + ... + 312068.

It is an arithmetic number, because the mean of its divisors is an integer number (472125927).

Almost surely, 221303322020 is an apocalyptic number.

21303322020 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 21303322020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33993066744).

21303322020 is an abundant number, since it is smaller than the sum of its proper divisors (46682811468).

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

21303322020 is a wasteful number, since it uses less digits than its factorization.

21303322020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78110 (or 78105 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 21303322020 its reverse (2022330312), we get a palindrome (23325652332).

The spelling of 21303322020 in words is "twenty-one billion, three hundred three million, three hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 41 45 60 74 82 90 111 123 148 164 180 185 205 222 246 333 369 370 410 444 492 555 615 666 738 740 820 1110 1230 1332 1476 1517 1665 1845 2220 2460 3034 3330 3690 4551 6068 6660 7380 7585 9102 13653 15170 18204 22755 27306 30340 45510 54612 68265 78017 91020 136530 156034 234051 273060 312068 390085 468102 702153 780170 936204 1170255 1404306 1560340 2340510 2808612 2886629 3198697 3510765 4681020 5773258 6397394 7021530 8659887 9596091 11546516 12794788 14043060 14433145 15993485 17319774 19192182 25979661 28788273 28866290 31986970 34639548 38384364 43299435 47980455 51959322 57576546 57732580 63973940 86598870 95960910 103918644 115153092 118351789 129898305 143941365 173197740 191921820 236703578 259796610 287882730 355055367 473407156 519593220 575765460 591758945 710110734 1065166101 1183517890 1420221468 1775276835 2130332202 2367035780 3550553670 4260664404 5325830505 7101107340 10651661010 21303322020