Search a number
-
+
21303024123200 = 265213314390077
BaseRepresentation
bin1001101011111111111110…
…01011110111110101000000
32210102112211101020100000212
410311333333023313311000
510243012043133420300
6113150250231133252
74326043540230101
oct465777713676500
983375741210025
1021303024123200
11687361a8267a6
122480803814228
13bb6b35a8a791
145391012cc3a8
1526e219517935
hex135fff2f7d40

21303024123200 has 42 divisors (see below), whose sum is σ = 52418753737086. Its totient is φ = 8521209648640.

The previous prime is 21303024123181. The next prime is 21303024123233. The reversal of 21303024123200 is 232142030312.

It can be written as a sum of positive squares in 3 ways, for example, as 4873815659584 + 16429208463616 = 2207672^2 + 4053296^2 .

It is a super-3 number, since 3×213030241232003 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6657193439 + ... + 6657196638.

Almost surely, 221303024123200 is an apocalyptic number.

21303024123200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21303024123200 is an abundant number, since it is smaller than the sum of its proper divisors (31115729613886).

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

21303024123200 is a wasteful number, since it uses less digits than its factorization.

21303024123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13314390099 (or 13314390084 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 21303024123200 its reverse (232142030312), we get a palindrome (21535166153512).

The spelling of 21303024123200 in words is "twenty-one trillion, three hundred three billion, twenty-four million, one hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 13314390077 26628780154 53257560308 66571950385 106515120616 133143900770 213030241232 266287801540 332859751925 426060482464 532575603080 665719503850 852120964928 1065151206160 1331439007700 2130302412320 2662878015400 4260604824640 5325756030800 10651512061600 21303024123200