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12333325005 = 335412228243
BaseRepresentation
bin10110111110001111…
…11001101011001101
31011211112022211022000
423133013321223031
5200224312400010
65355453542513
7614426350521
oct133707715315
934745284260
1012333325005
115259927691
1224824a4a39
13121722cb61
1484ddc7d81
154c2b637c0
hex2df1f9acd

12333325005 has 32 divisors (see below), whose sum is σ = 22460699520. Its totient is φ = 6417336960.

The previous prime is 12333324953. The next prime is 12333325063. The reversal of 12333325005 is 50052333321.

12333325005 is a `hidden beast` number, since 1 + 2 + 333 + 325 + 0 + 0 + 5 = 666.

It is not a de Polignac number, because 12333325005 - 27 = 12333324877 is a prime.

It is a super-2 number, since 2×123333250052 (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12333325005.

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, 1108587 + ... + 1119656.

It is an arithmetic number, because the mean of its divisors is an integer number (701896860).

Almost surely, 212333325005 is an apocalyptic number.

12333325005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12333325005 is a deficient number, since it is larger than the sum of its proper divisors (10127374515).

12333325005 is a wasteful number, since it uses less digits than its factorization.

12333325005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2228298 (or 2228292 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

Adding to 12333325005 its reverse (50052333321), we get a palindrome (62385658326).

The spelling of 12333325005 in words is "twelve billion, three hundred thirty-three million, three hundred twenty-five thousand, five".

Divisors: 1 3 5 9 15 27 41 45 123 135 205 369 615 1107 1845 5535 2228243 6684729 11141215 20054187 33423645 60162561 91357963 100270935 274073889 300812805 456789815 822221667 1370369445 2466665001 4111108335 12333325005