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12123111013 = 133725203973
BaseRepresentation
bin10110100101001011…
…11111111001100101
31011021212202211220121
423102211333321211
5144312004023023
65322544201541
7606264512656
oct132245777145
934255684817
1012123111013
1151611a8812
1224240092b1
1311b280a790
1483010752d
154ae48cd5d
hex2d297fe65

12123111013 has 8 divisors (see below), whose sum is σ = 13408514168. Its totient is φ = 10888115904.

The previous prime is 12123111001. The next prime is 12123111029. The reversal of 12123111013 is 31011132121.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 992439009 + 11130672004 = 31503^2 + 105502^2 .

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 12123111013 - 25 = 12123110981 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12123111113) 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, 12601506 + ... + 12602467.

It is an arithmetic number, because the mean of its divisors is an integer number (1676064271).

Almost surely, 212123111013 is an apocalyptic number.

12123111013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12123111013 is a deficient number, since it is larger than the sum of its proper divisors (1285403155).

12123111013 is a wasteful number, since it uses less digits than its factorization.

12123111013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25204023.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 12123111013 its reverse (31011132121), we get a palindrome (43134243134).

The spelling of 12123111013 in words is "twelve billion, one hundred twenty-three million, one hundred eleven thousand, thirteen".

Divisors: 1 13 37 481 25203973 327651649 932547001 12123111013