Search a number
-
+
33102303000113 = 7312725713893079
BaseRepresentation
bin1111000011011001110110…
…00000101111011000110001
311100012112211102002220102102
413201230323000233120301
513314322004032000423
6154222553231030145
76654363632656664
oct741547300573061
9140175742086372
1033102303000113
11a602676082a06
12386754636b355
1315616c2934439
148262351136db
153c6100a1cc28
hex1e1b3b02f631

33102303000113 has 16 divisors (see below), whose sum is σ = 33951575470080. Its totient is φ = 32265728925696.

The previous prime is 33102303000071. The next prime is 33102303000139. The reversal of 33102303000113 is 31100030320133.

It is a cyclic number.

It is not a de Polignac number, because 33102303000113 - 222 = 33102298805809 is a prime.

It is a super-4 number, since 4×331023030001134 (a number of 55 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (33102303500113) 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, 4563893 + ... + 9329186.

It is an arithmetic number, because the mean of its divisors is an integer number (2121973466880).

Almost surely, 233102303000113 is an apocalyptic number.

It is an amenable number.

33102303000113 is a deficient number, since it is larger than the sum of its proper divisors (849272469967).

33102303000113 is a wasteful number, since it uses less digits than its factorization.

33102303000113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13893536.

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 33102303000113 its reverse (31100030320133), we get a palindrome (64202333320246).

The spelling of 33102303000113 in words is "thirty-three trillion, one hundred two billion, three hundred three million, one hundred thirteen", and thus it is an aban number.

Divisors: 1 73 127 257 9271 18761 32639 2382647 13893079 1014194767 1764421033 3570521303 128802735409 260648055119 453456205481 33102303000113