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21321230033333 = 41899760237461
BaseRepresentation
bin1001101100100001111000…
…10101111010000110110101
32210111021211011212101122202
410312100330111322012311
510243311334342031313
6113202500551034245
74330256646013226
oct466207425720665
983437734771582
1021321230033333
11688031256851a
12248424496b985
13bb8777864479
14539d4b1d924d
1526e9329e6558
hex13643c57a1b5

21321230033333 has 16 divisors (see below), whose sum is σ = 22314365423280. Its totient is φ = 20355442483200.

The previous prime is 21321230033329. The next prime is 21321230033381. The reversal of 21321230033333 is 33333003212312.

It can be written as a sum of positive squares in 8 ways, for example, as 8896183126609 + 12425046906724 = 2982647^2 + 3524918^2 .

It is a cyclic number.

It is not a de Polignac number, because 21321230033333 - 22 = 21321230033329 is a prime.

It is a super-2 number, since 2×213212300333332 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21321230033296 and 21321230033305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21321230033533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29764778 + ... + 30472683.

It is an arithmetic number, because the mean of its divisors is an integer number (1394647838955).

Almost surely, 221321230033333 is an apocalyptic number.

It is an amenable number.

21321230033333 is a deficient number, since it is larger than the sum of its proper divisors (993135389947).

21321230033333 is an equidigital number, since it uses as much as digits as its factorization.

21321230033333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60237688.

The product of its (nonzero) digits is 17496, while the sum is 29.

Adding to 21321230033333 its reverse (33333003212312), we get a palindrome (54654233245645).

The spelling of 21321230033333 in words is "twenty-one trillion, three hundred twenty-one billion, two hundred thirty million, thirty-three thousand, three hundred thirty-three".

Divisors: 1 41 89 97 3649 3977 8633 353953 60237461 2469735901 5361134029 5843033717 219806495189 239564382397 520030000813 21321230033333