Search a number
-
+
11331023000094 = 233731395770771
BaseRepresentation
bin1010010011100011010110…
…0110011101001000011110
31111010020100110211101202000
42210320311212131020132
52441121413342000334
640033222231143130
72246432212231260
oct244706546351036
944106313741660
1011331023000094
1136795070a2366
121330040814aa6
13642684548a45
142b25d2939b30
15149b2c6b8299
hexa4e3599d21e

11331023000094 has 64 divisors (see below), whose sum is σ = 28869141511680. Its totient is φ = 3227091865920.

The previous prime is 11331023000009. The next prime is 11331023000113. The reversal of 11331023000094 is 49000032013311.

11331023000094 is a `hidden beast` number, since 11 + 331 + 0 + 230 + 0 + 0 + 0 + 94 = 666.

11331023000094 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47767072 + ... + 48003699.

It is an arithmetic number, because the mean of its divisors is an integer number (451080336120).

Almost surely, 211331023000094 is an apocalyptic number.

11331023000094 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

11331023000094 is an abundant number, since it is smaller than the sum of its proper divisors (17538118511586).

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

11331023000094 is a wasteful number, since it uses less digits than its factorization.

11331023000094 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95771102 (or 95771096 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 11331023000094 in words is "eleven trillion, three hundred thirty-one billion, twenty-three million, ninety-four", and thus it is an aban number.

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 313 378 626 939 1878 2191 2817 4382 5634 6573 8451 13146 16902 19719 39438 59157 118314 95770771 191541542 287312313 574624626 670395397 861936939 1340790794 1723873878 2011186191 2585810817 4022372382 5171621634 6033558573 12067117146 18100675719 29976251323 36201351438 59952502646 89928753969 179857507938 209833759261 269786261907 419667518522 539572523814 629501277783 809358785721 1259002555566 1618717571442 1888503833349 3777007666698 5665511500047 11331023000094