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33023022300013 = 2941431049615731
BaseRepresentation
bin1111000001000110001011…
…00000110111101101101101
311022220222012012111001101111
413200203011200313231231
513312022122202100023
6154122322250312021
76645556164101434
oct740430540675555
9138828165431344
1033023022300013
11a581a921a8559
1238540bb428611
131557099838585
14822473ad811b
153c401078500d
hex1e08c5837b6d

33023022300013 has 32 divisors (see below), whose sum is σ = 35842991184000. Its totient is φ = 30354208281600.

The previous prime is 33023022299983. The next prime is 33023022300019. The reversal of 33023022300013 is 31000322032033.

It is a cyclic number.

It is not a de Polignac number, because 33023022300013 - 225 = 33022988745581 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33023022300019) 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 31 ways as a sum of consecutive naturals, for example, 53324358 + ... + 53940088.

It is an arithmetic number, because the mean of its divisors is an integer number (1120093474500).

Almost surely, 233023022300013 is an apocalyptic number.

It is an amenable number.

33023022300013 is a deficient number, since it is larger than the sum of its proper divisors (2819968883987).

33023022300013 is a wasteful number, since it uses less digits than its factorization.

33023022300013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616893.

The product of its (nonzero) digits is 1944, while the sum is 22.

Adding to 33023022300013 its reverse (31000322032033), we get a palindrome (64023344332046).

The spelling of 33023022300013 in words is "thirty-three trillion, twenty-three billion, twenty-two million, three hundred thousand, thirteen".

Divisors: 1 29 41 43 1049 1189 1247 1763 30421 43009 45107 51127 615731 1247261 1308103 1849387 17856199 25244971 26476433 53632223 645901819 732104159 767816557 1085533753 18731152751 26481974579 27773778217 31480478837 767977262791 805439568293 1138724906897 33023022300013