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12430838001 = 325149933083
BaseRepresentation
bin10111001001110111…
…11000100011110001
31012002022210222222110
423210323320203301
5200424243304001
65413255555533
7620022244131
oct134473704361
935068728873
1012430838001
1152a997a63a
1224ab08bba9
1312314b265a
1485cd2cac1
154cb4c63d6
hex2e4ef88f1

12430838001 has 16 divisors (see below), whose sum is σ = 16674336000. Its totient is φ = 8237418000.

The previous prime is 12430837981. The next prime is 12430838033. The reversal of 12430838001 is 10083803421.

It is not a de Polignac number, because 12430838001 - 213 = 12430829809 is a prime.

It is a super-3 number, since 3×124308380013 (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12430838001.

It is not an unprimeable number, because it can be changed into a prime (12430838071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 359206 + ... + 392288.

It is an arithmetic number, because the mean of its divisors is an integer number (1042146000).

Almost surely, 212430838001 is an apocalyptic number.

It is an amenable number.

12430838001 is a deficient number, since it is larger than the sum of its proper divisors (4243497999).

12430838001 is a wasteful number, since it uses less digits than its factorization.

12430838001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33836.

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 12430838001 in words is "twelve billion, four hundred thirty million, eight hundred thirty-eight thousand, one".

Divisors: 1 3 251 499 753 1497 33083 99249 125249 375747 8303833 16508417 24911499 49525251 4143612667 12430838001