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12114322441 = 135917988237
BaseRepresentation
bin10110100100001000…
…11110010000001001
31011021021020100020221
423102010132100021
5144302231304231
65322031550041
7606130020214
oct132204362011
934237210227
1012114322441
115157245831
12242108b321
1311b0a51440
1482cc9a77b
154ad803d11
hex2d211e409

12114322441 has 16 divisors (see below), whose sum is σ = 13341585600. Its totient is φ = 10931381568.

The previous prime is 12114322411. The next prime is 12114322481. The reversal of 12114322441 is 14422341121.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12114322441 is a prime.

It is a super-3 number, since 3×121143224413 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12114322411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93175 + ... + 181411.

It is an arithmetic number, because the mean of its divisors is an integer number (833849100).

Almost surely, 212114322441 is an apocalyptic number.

It is an amenable number.

12114322441 is a deficient number, since it is larger than the sum of its proper divisors (1227263159).

12114322441 is a wasteful number, since it uses less digits than its factorization.

12114322441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88488.

The product of its digits is 1536, while the sum is 25.

Adding to 12114322441 its reverse (14422341121), we get a palindrome (26536663562).

The spelling of 12114322441 in words is "twelve billion, one hundred fourteen million, three hundred twenty-two thousand, four hundred forty-one".

Divisors: 1 13 59 179 767 2327 10561 88237 137293 1147081 5205983 15794423 67677779 205327499 931870957 12114322441