Search a number
-
+
11330112332295 = 3352321117293789
BaseRepresentation
bin1010010011011111111101…
…0100100010001000000111
31111010011000000020200101000
42210313333110202020013
52441113032224113140
640032552020304343
72246400513542151
oct244677724421007
944104000220330
1011330112332295
11367908a044149
12132ba278420b3
1364256a988863
142b2547a03ad1
15149ac7780a30
hexa4dff522207

11330112332295 has 64 divisors (see below), whose sum is σ = 21117792844800. Its totient is φ = 5752605640320.

The previous prime is 11330112332293. The next prime is 11330112332303. The reversal of 11330112332295 is 59223321103311.

11330112332295 is a `hidden beast` number, since 1 + 1 + 3 + 30 + 1 + 1 + 2 + 332 + 295 = 666.

11330112332295 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11330112332295 - 21 = 11330112332293 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11330112332293) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7991740 + ... + 9302049.

It is an arithmetic number, because the mean of its divisors is an integer number (329965513200).

Almost surely, 211330112332295 is an apocalyptic number.

11330112332295 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11330112332295 is a deficient number, since it is larger than the sum of its proper divisors (9787680512505).

11330112332295 is a wasteful number, since it uses less digits than its factorization.

11330112332295 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17294037 (or 17294031 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 11330112332295 in words is "eleven trillion, three hundred thirty billion, one hundred twelve million, three hundred thirty-two thousand, two hundred ninety-five".

Divisors: 1 3 5 9 15 23 27 45 69 115 135 207 211 345 621 633 1035 1055 1899 3105 3165 4853 5697 9495 14559 24265 28485 43677 72795 131031 218385 655155 17293789 51881367 86468945 155644101 259406835 397757147 466932303 778220505 1193271441 1988785735 2334661515 3579814323 3648989479 5966357205 10739442969 10946968437 17899071615 18244947395 32840905311 53697214845 54734842185 83926758017 98522715933 164204526555 251780274051 419633790085 492613579665 755340822153 1258901370255 2266022466459 3776704110765 11330112332295