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1058344133231 = 71167877233917
BaseRepresentation
bin11110110011010100011…
…10011110001001101111
310202011202211012111001102
433121222032132021233
5114314442044230411
62130110243433315
7136314516462560
oct17315216361157
93664684174042
101058344133231
11378928743820
1215114538583b
1378a5595c3b8
143931d022167
151c7e3931d3b
hexf66a39e26f

1058344133231 has 32 divisors (see below), whose sum is σ = 1340720666112. Its totient is φ = 811445247360.

The previous prime is 1058344133227. The next prime is 1058344133237. The reversal of 1058344133231 is 1323314438501.

It is not a de Polignac number, because 1058344133231 - 22 = 1058344133227 is a prime.

It is a super-2 number, since 2×10583441332312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1058344133237) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4407485 + ... + 4641401.

It is an arithmetic number, because the mean of its divisors is an integer number (41897520816).

Almost surely, 21058344133231 is an apocalyptic number.

1058344133231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1058344133231 is a deficient number, since it is larger than the sum of its proper divisors (282376532881).

1058344133231 is a wasteful number, since it uses less digits than its factorization.

1058344133231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234879.

The product of its (nonzero) digits is 103680, while the sum is 38.

The spelling of 1058344133231 in words is "one trillion, fifty-eight billion, three hundred forty-four million, one hundred thirty-three thousand, two hundred thirty-one".

Divisors: 1 7 11 67 77 469 737 877 5159 6139 9647 58759 67529 233917 411313 646349 1637419 2573087 4524443 15672439 18011609 109707073 172396829 205145209 1206777803 1436016463 2256597299 13744729003 15796181093 96213103021 151192019033 1058344133231