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12434112141 = 311829454513
BaseRepresentation
bin10111001010010000…
…10111111010001101
31012002112222100020220
423211020113322031
5200431113042031
65413454101553
7620062131543
oct134510277215
935075870226
1012434112141
115300806540
1224b01aa8b9
13123208aa09
1485d541d93
154cb921596
hex2e5217e8d

12434112141 has 16 divisors (see below), whose sum is σ = 18107837760. Its totient is φ = 7526718720.

The previous prime is 12434112101. The next prime is 12434112143. The reversal of 12434112141 is 14121143421.

It is a happy number.

It is not a de Polignac number, because 12434112141 - 27 = 12434112013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12434112143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199900 + ... + 254613.

It is an arithmetic number, because the mean of its divisors is an integer number (1131739860).

Almost surely, 212434112141 is an apocalyptic number.

12434112141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12434112141 is a deficient number, since it is larger than the sum of its proper divisors (5673725619).

12434112141 is a wasteful number, since it uses less digits than its factorization.

12434112141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455356.

The product of its digits is 768, while the sum is 24.

Adding to 12434112141 its reverse (14121143421), we get a palindrome (26555255562).

The spelling of 12434112141 in words is "twelve billion, four hundred thirty-four million, one hundred twelve thousand, one hundred forty-one".

Divisors: 1 3 11 33 829 2487 9119 27357 454513 1363539 4999643 14998929 376791277 1130373831 4144704047 12434112141