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12034541431 = 11472495269
BaseRepresentation
bin10110011010101000…
…01000011101110111
31011001201010001021201
423031110020131313
5144121320311211
65310101553331
7604140625423
oct131524103567
934051101251
1012034541431
115116204110
1223ba415847
13119a369943
1482244db83
154a67e50c1
hex2cd508777

12034541431 has 12 divisors (see below), whose sum is σ = 13413892680. Its totient is φ = 10707694160.

The previous prime is 12034541419. The next prime is 12034541437. The reversal of 12034541431 is 13414543021.

It is not a de Polignac number, because 12034541431 - 27 = 12034541303 is a prime.

It is a super-2 number, since 2×120345414312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12034541431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12034541437) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 223336 + ... + 271933.

It is an arithmetic number, because the mean of its divisors is an integer number (1117824390).

Almost surely, 212034541431 is an apocalyptic number.

12034541431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12034541431 is a deficient number, since it is larger than the sum of its proper divisors (1379351249).

12034541431 is an equidigital number, since it uses as much as digits as its factorization.

12034541431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495374 (or 495327 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The spelling of 12034541431 in words is "twelve billion, thirty-four million, five hundred forty-one thousand, four hundred thirty-one".

Divisors: 1 11 47 517 2209 24299 495269 5447959 23277643 256054073 1094049221 12034541431