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12100310013 = 3112331573717
BaseRepresentation
bin10110100010011110…
…00001001111111101
31011020021212102211010
423101033001033331
5144240134410023
65320411345433
7605566636521
oct132117011775
934207772733
1012100310013
11514a345010
122418452279
1311aab8646c
1482b08dd81
154ac487093
hex2d13c13fd

12100310013 has 16 divisors (see below), whose sum is σ = 17676000576. Its totient is φ = 7302042240.

The previous prime is 12100309987. The next prime is 12100310029. The reversal of 12100310013 is 31001300121.

It is not a de Polignac number, because 12100310013 - 25 = 12100309981 is a prime.

It is a super-4 number, since 4×121003100134 (a number of 41 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100310063) 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, 779170 + ... + 794547.

It is an arithmetic number, because the mean of its divisors is an integer number (1104750036).

Almost surely, 212100310013 is an apocalyptic number.

It is an amenable number.

12100310013 is a deficient number, since it is larger than the sum of its proper divisors (5575690563).

12100310013 is a wasteful number, since it uses less digits than its factorization.

12100310013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573964.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 12100310013 its reverse (31001300121), we get a palindrome (43101610134).

The spelling of 12100310013 in words is "twelve billion, one hundred million, three hundred ten thousand, thirteen".

Divisors: 1 3 11 33 233 699 2563 7689 1573717 4721151 17310887 51932661 366676061 1100028183 4033436671 12100310013