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11523200212314 = 2327335212728259
BaseRepresentation
bin1010011110101111010001…
…0000010101110101011010
31111210121101122011021210200
42213223310100111311122
53002244003223243224
640301403551523030
72266344433462650
oct247536420256532
944717348137720
1011523200212314
113742a6412429a
121361334529476
1365782cc60abb
142bba23ac2dd0
1514eb28e995c9
hexa7af4415d5a

11523200212314 has 48 divisors (see below), whose sum is σ = 28534500296640. Its totient is φ = 3292243493760.

The previous prime is 11523200212301. The next prime is 11523200212331. The reversal of 11523200212314 is 41321200232511.

It is a happy number.

11523200212314 is a `hidden beast` number, since 1 + 1 + 5 + 2 + 320 + 0 + 21 + 2 + 314 = 666.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2859517 + ... + 5587775.

It is an arithmetic number, because the mean of its divisors is an integer number (594468756180).

Almost surely, 211523200212314 is an apocalyptic number.

11523200212314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

11523200212314 is an abundant number, since it is smaller than the sum of its proper divisors (17011300084326).

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

11523200212314 is a wasteful number, since it uses less digits than its factorization.

11523200212314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2761795 (or 2761792 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 11523200212314 its reverse (41321200232511), we get a palindrome (52844400444825).

The spelling of 11523200212314 in words is "eleven trillion, five hundred twenty-three billion, two hundred million, two hundred twelve thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 33521 67042 100563 201126 234647 301689 469294 603378 703941 1407882 2111823 2728259 4223646 5456518 8184777 16369554 19097813 24554331 38195626 49108662 57293439 114586878 171880317 343760634 91453969939 182907939878 274361909817 548723819634 640177789573 823085729451 1280355579146 1646171458902 1920533368719 3841066737438 5761600106157 11523200212314