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11331100200013 = 115033832153441
BaseRepresentation
bin1010010011100011101000…
…1100111100110001001101
31111010020112212002120010021
42210320322030330301031
52441122043122400023
640033234025542141
72246434140353026
oct244707214746115
944106485076107
1011331100200013
113679546730850
121330062644951
13642697538779
142b25dccb3c4d
15149b3436735d
hexa4e3a33cc4d

11331100200013 has 16 divisors (see below), whose sum is σ = 12386330151552. Its totient is φ = 10280060416000.

The previous prime is 11331100199999. The next prime is 11331100200029. The reversal of 11331100200013 is 31000200113311.

11331100200013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11331100200013 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11331100200013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11331100200073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212003373 + ... + 212056813.

It is an arithmetic number, because the mean of its divisors is an integer number (774145634472).

Almost surely, 211331100200013 is an apocalyptic number.

It is an amenable number.

11331100200013 is a deficient number, since it is larger than the sum of its proper divisors (1055229951539).

11331100200013 is a wasteful number, since it uses less digits than its factorization.

11331100200013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92276.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 11331100200013 its reverse (31000200113311), we get a palindrome (42331300313324).

The spelling of 11331100200013 in words is "eleven trillion, three hundred thirty-one billion, one hundred million, two hundred thousand, thirteen".

Divisors: 1 11 503 5533 38321 53441 421531 587851 19275463 26880823 212030093 295689053 2047912561 22527038171 1030100018183 11331100200013