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12131414414 = 2721011225643
BaseRepresentation
bin10110100110001011…
…01011000110001110
31011022110101201000222
423103011223012032
5144321120230124
65323442151342
7606425215100
oct132305530616
934273351028
1012131414414
11516595a229
122426952552
1311b4457032
14831269570
154b007d25e
hex2d316b18e

12131414414 has 24 divisors (see below), whose sum is σ = 21377682648. Its totient is φ = 5147696400.

The previous prime is 12131414381. The next prime is 12131414497. The reversal of 12131414414 is 41441413121.

It is a happy number.

12131414414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 602924 + ... + 622719.

It is an arithmetic number, because the mean of its divisors is an integer number (890736777).

Almost surely, 212131414414 is an apocalyptic number.

12131414414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12131414414 is a deficient number, since it is larger than the sum of its proper divisors (9246268234).

12131414414 is a wasteful number, since it uses less digits than its factorization.

12131414414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225760 (or 1225753 counting only the distinct ones).

The product of its digits is 1536, while the sum is 26.

Adding to 12131414414 its reverse (41441413121), we get a palindrome (53572827535).

The spelling of 12131414414 in words is "twelve billion, one hundred thirty-one million, four hundred fourteen thousand, four hundred fourteen".

Divisors: 1 2 7 14 49 98 101 202 707 1414 4949 9898 1225643 2451286 8579501 17159002 60056507 120113014 123789943 247579886 866529601 1733059202 6065707207 12131414414