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1431112111341 = 31131756337447
BaseRepresentation
bin10100110100110100111…
…011011101010011101101
312001210221122220210210220
4110310310323131103231
5141421404200030331
63013235511121553
7205252202144013
oct24646473352355
95053848823726
101431112111341
11501a27529000
121b14386732b9
13a4c51500503
144d3a26268b3
152735e713296
hex14d34edd4ed

1431112111341 has 64 divisors (see below), whose sum is σ = 2226287794176. Its totient is φ = 814848925440.

The previous prime is 1431112111313. The next prime is 1431112111343.

1431112111341 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1431112111341 - 26 = 1431112111277 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1431112111343) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38198280 + ... + 38235726.

It is an arithmetic number, because the mean of its divisors is an integer number (34785746784).

Almost surely, 21431112111341 is an apocalyptic number.

1431112111341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1431112111341 is a deficient number, since it is larger than the sum of its proper divisors (795175682835).

1431112111341 is a wasteful number, since it uses less digits than its factorization.

1431112111341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38063 (or 38041 counting only the distinct ones).

The product of its digits is 288, while the sum is 24.

The spelling of 1431112111341 in words is "one trillion, four hundred thirty-one billion, one hundred twelve million, one hundred eleven thousand, three hundred forty-one".

Divisors: 1 3 11 17 33 51 121 187 363 561 563 1331 1689 2057 3993 6171 6193 9571 18579 22627 28713 37447 67881 68123 105281 112341 204369 315843 411917 636599 749353 1158091 1235751 1909797 2248059 3474273 4531087 7002589 12739001 13593261 21007767 21082661 38217003 49841957 63247983 77028479 149525871 231085437 231909271 358405237 695727813 847313269 1075215711 2541939807 2551001981 3942457607 7653005943 11827372821 28061021791 43367033677 84183065373 130101101031 477037370447 1431112111341