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12100322013 = 313310264667
BaseRepresentation
bin10110100010011110…
…00100001011011101
31011020021220001021120
423101033010023131
5144240140301023
65320411521153
7605600016513
oct132117041335
934207801246
1012100322013
11514a35302a
1224184591b9
1311aab8ba70
1482b0944b3
154ac48a8e3
hex2d13c42dd

12100322013 has 8 divisors (see below), whose sum is σ = 17374821408. Its totient is φ = 7446351984.

The previous prime is 12100321997. The next prime is 12100322023. The reversal of 12100322013 is 31022300121.

12100322013 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 12100322013 - 24 = 12100321997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12100321983 and 12100322001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100322023) 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, 155132295 + ... + 155132372.

It is an arithmetic number, because the mean of its divisors is an integer number (2171852676).

Almost surely, 212100322013 is an apocalyptic number.

12100322013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12100322013 is a deficient number, since it is larger than the sum of its proper divisors (5274499395).

12100322013 is a wasteful number, since it uses less digits than its factorization.

12100322013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310264683.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12100322013 its reverse (31022300121), we get a palindrome (43122622134).

The spelling of 12100322013 in words is "twelve billion, one hundred million, three hundred twenty-two thousand, thirteen".

Divisors: 1 3 13 39 310264667 930794001 4033440671 12100322013