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1058013333 = 34131004761
BaseRepresentation
bin111111000100000…
…000000010010101
32201201211122110000
4333010000002111
54131322411313
6252552521513
735134651656
oct7704000225
92651748400
101058013333
114a3248093
122563b0299
1313b26cac0
14a072d52d
1562d40673
hex3f100095

1058013333 has 20 divisors (see below), whose sum is σ = 1702066828. Its totient is φ = 651084480.

The previous prime is 1058013301. The next prime is 1058013349. The reversal of 1058013333 is 3333108501.

It can be written as a sum of positive squares in 2 ways, for example, as 663474564 + 394538769 = 25758^2 + 19863^2 .

It is not a de Polignac number, because 1058013333 - 25 = 1058013301 is a prime.

It is a super-2 number, since 2×10580133332 = 2238784425611537778, which 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 Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1058013297 and 1058013306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1058014333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 501328 + ... + 503433.

Almost surely, 21058013333 is an apocalyptic number.

1058013333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1058013333 is a deficient number, since it is larger than the sum of its proper divisors (644053495).

1058013333 is a wasteful number, since it uses less digits than its factorization.

1058013333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004786 (or 1004777 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 1058013333 is about 32527.1168872988. The cubic root of 1058013333 is about 1018.9754331281.

The spelling of 1058013333 in words is "one billion, fifty-eight million, thirteen thousand, three hundred thirty-three".

Divisors: 1 3 9 13 27 39 81 117 351 1053 1004761 3014283 9042849 13061893 27128547 39185679 81385641 117557037 352671111 1058013333