Search a number
-
+
21300310320 = 2435149959207
BaseRepresentation
bin10011110101100110…
…001111000100110000
32000222110021212200020
4103311212033010300
5322110334412240
613441335323440
71352561436042
oct236546170460
960873255606
1021300310320
119040519453
124165520580
132015bc0c23
141060c87a92
15849ebd0d0
hex4f598f130

21300310320 has 80 divisors (see below), whose sum is σ = 66076128000. Its totient is φ = 5676197632.

The previous prime is 21300310309. The next prime is 21300310321. The reversal of 21300310320 is 2301300312.

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

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 21300310320.

It is not an unprimeable number, because it can be changed into a prime (21300310321) 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 15 ways as a sum of consecutive naturals, for example, 330157 + ... + 389363.

It is an arithmetic number, because the mean of its divisors is an integer number (825951600).

Almost surely, 221300310320 is an apocalyptic number.

21300310320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21300310320 is an abundant number, since it is smaller than the sum of its proper divisors (44775817680).

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

21300310320 is a wasteful number, since it uses less digits than its factorization.

21300310320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60722 (or 60716 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 21300310320 its reverse (2301300312), we get a palindrome (23601610632).

The spelling of 21300310320 in words is "twenty-one billion, three hundred million, three hundred 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 1499 2998 4497 5996 7495 8994 11992 14990 17988 22485 23984 29980 35976 44970 59207 59960 71952 89940 118414 119920 177621 179880 236828 296035 355242 359760 473656 592070 710484 888105 947312 1184140 1420968 1776210 2368280 2841936 3552420 4736560 7104840 14209680 88751293 177502586 266253879 355005172 443756465 532507758 710010344 887512930 1065015516 1331269395 1420020688 1775025860 2130031032 2662538790 3550051720 4260062064 5325077580 7100103440 10650155160 21300310320