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12001000323 = 313307717957
BaseRepresentation
bin10110010110101000…
…01011101110000011
31010222100222222112110
423023110023232003
5144034224002243
65302503030403
7603252551064
oct131324135603
933870888473
1012001000323
1150a9285194
1223ab13b403
131193424c30
1481bbdc56b
154a38bbe33
hex2cb50bb83

12001000323 has 8 divisors (see below), whose sum is σ = 17232205648. Its totient is φ = 7385230944.

The previous prime is 12001000321. The next prime is 12001000331. The reversal of 12001000323 is 32300010021.

It is a happy number.

12001000323 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 12001000323 - 21 = 12001000321 is a prime.

It is a super-2 number, since 2×120010003232 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12001000299 and 12001000308.

It is not an unprimeable number, because it can be changed into a prime (12001000321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153858940 + ... + 153859017.

It is an arithmetic number, because the mean of its divisors is an integer number (2154025706).

Almost surely, 212001000323 is an apocalyptic number.

12001000323 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

12001000323 is a deficient number, since it is larger than the sum of its proper divisors (5231205325).

12001000323 is a wasteful number, since it uses less digits than its factorization.

12001000323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307717973.

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 12001000323 its reverse (32300010021), we get a palindrome (44301010344).

The spelling of 12001000323 in words is "twelve billion, one million, three hundred twenty-three", and thus it is an aban number.

Divisors: 1 3 13 39 307717957 923153871 4000333441 12001000323