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12114101140 = 225605705057
BaseRepresentation
bin10110100100000111…
…01000001110010100
31011021020211002200121
423102003220032110
5144302202214030
65322023121324
7606125106061
oct132203501624
934236732617
1012114101140
115157104539
122420ba3244
1311b09a47ab
1482cc3dc68
154ad7ad47a
hex2d20e8394

12114101140 has 12 divisors (see below), whose sum is σ = 25439612436. Its totient is φ = 4845640448.

The previous prime is 12114101099. The next prime is 12114101141. The reversal of 12114101140 is 4110141121.

It can be written as a sum of positive squares in 2 ways, for example, as 2191550596 + 9922550544 = 46814^2 + 99612^2 .

It is a super-3 number, since 3×121141011403 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12114101141) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 302852509 + ... + 302852548.

It is an arithmetic number, because the mean of its divisors is an integer number (2119967703).

Almost surely, 212114101140 is an apocalyptic number.

12114101140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12114101140 is an abundant number, since it is smaller than the sum of its proper divisors (13325511296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12114101140 is a wasteful number, since it uses less digits than its factorization.

12114101140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605705066 (or 605705064 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12114101140 its reverse (4110141121), we get a palindrome (16224242261).

The spelling of 12114101140 in words is "twelve billion, one hundred fourteen million, one hundred one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 605705057 1211410114 2422820228 3028525285 6057050570 12114101140