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12351001827 = 341100414649
BaseRepresentation
bin10111000000010110…
…10101010011100011
31011212202120220100010
423200023111103203
5200243324024302
65401324500003
7615032532453
oct134013252343
934782526303
1012351001827
11526890052a
1224883aa603
13121aaaba08
148524a9d63
154c44a616c
hex2e02d54e3

12351001827 has 8 divisors (see below), whose sum is σ = 16869661200. Its totient is φ = 8033171840.

The previous prime is 12351001811. The next prime is 12351001849. The reversal of 12351001827 is 72810015321.

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

It is a cyclic number.

It is not a de Polignac number, because 12351001827 - 24 = 12351001811 is a prime.

It is a super-3 number, since 3×123510018273 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 12351001794 and 12351001803.

It is not an unprimeable number, because it can be changed into a prime (12351001807) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50207202 + ... + 50207447.

It is an arithmetic number, because the mean of its divisors is an integer number (2108707650).

Almost surely, 212351001827 is an apocalyptic number.

12351001827 is a deficient number, since it is larger than the sum of its proper divisors (4518659373).

12351001827 is a wasteful number, since it uses less digits than its factorization.

12351001827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100414693.

The product of its (nonzero) digits is 3360, while the sum is 30.

The spelling of 12351001827 in words is "twelve billion, three hundred fifty-one million, one thousand, eight hundred twenty-seven".

Divisors: 1 3 41 123 100414649 301243947 4117000609 12351001827