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424131101343 = 3337424555657
BaseRepresentation
bin1100010110000000010…
…11110000001010011111
31111112202102111022221000
412023000023300022133
523422110030220333
6522502041241343
742433235610105
oct6130013601237
91445672438830
10424131101343
11153966a49a64
126a248793253
1330cc2b4a531
1416756da7c75
15b075184713
hex62c02f029f

424131101343 has 16 divisors (see below), whose sum is σ = 645324600160. Its totient is φ = 275112065088.

The previous prime is 424131101267. The next prime is 424131101347. The reversal of 424131101343 is 343101131424.

424131101343 is a `hidden beast` number, since 4 + 2 + 4 + 1 + 311 + 0 + 1 + 343 = 666.

It is not a de Polignac number, because 424131101343 - 28 = 424131101087 is a prime.

It is a super-2 number, since 2×4241311013432 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424131101347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212276830 + ... + 212278827.

It is an arithmetic number, because the mean of its divisors is an integer number (40332787510).

Almost surely, 2424131101343 is an apocalyptic number.

424131101343 is a deficient number, since it is larger than the sum of its proper divisors (221193498817).

424131101343 is a wasteful number, since it uses less digits than its factorization.

424131101343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424555703 (or 424555697 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 424131101343 its reverse (343101131424), we get a palindrome (767232232767).

The spelling of 424131101343 in words is "four hundred twenty-four billion, one hundred thirty-one million, one hundred one thousand, three hundred forty-three".

Divisors: 1 3 9 27 37 111 333 999 424555657 1273666971 3821000913 11463002739 15708559309 47125677927 141377033781 424131101343