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1005501343 = 71141734363
BaseRepresentation
bin111011111011101…
…011101110011111
32121002000202112111
4323323223232133
54024402020333
6243435214451
733626422540
oct7373535637
92532022474
101005501343
11476641050
122408a7427
13130415212
14977804c7
155d41b4cd
hex3beebb9f

1005501343 has 32 divisors (see below), whose sum is σ = 1302077952. Its totient is φ = 753753600.

The previous prime is 1005501331. The next prime is 1005501377. The reversal of 1005501343 is 3431055001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1005501343 - 217 = 1005370271 is a prime.

It is a super-2 number, since 2×10055013432 = 2022065901549607298, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005501313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228280 + ... + 232642.

It is an arithmetic number, because the mean of its divisors is an integer number (40689936).

Almost surely, 21005501343 is an apocalyptic number.

1005501343 is a deficient number, since it is larger than the sum of its proper divisors (296576609).

1005501343 is a wasteful number, since it uses less digits than its factorization.

1005501343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4495.

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 1005501343 is about 31709.6411679476. The cubic root of 1005501343 is about 1001.8304284873.

Adding to 1005501343 its reverse (3431055001), we get a palindrome (4436556344).

The spelling of 1005501343 in words is "one billion, five million, five hundred one thousand, three hundred forty-three".

Divisors: 1 7 11 41 73 77 287 451 511 803 2993 3157 4363 5621 20951 30541 32923 47993 178883 230461 318499 335951 1252181 1967713 2229493 3503489 13058459 13773991 24524423 91409213 143643049 1005501343