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1058080413130 = 2513317133710973
BaseRepresentation
bin11110110010110101000…
…00011101010111001010
310202011002102222010002021
433121122200131113022
5114313422041210010
62130024143155054
7136305135055366
oct17313240352712
93664072863067
101058080413130
11378802899a24
12151090ba5a8a
1378a13124ac0
14392d5db42a6
151c7ca6dc8da
hexf65a81d5ca

1058080413130 has 128 divisors (see below), whose sum is σ = 2153598160896. Its totient is φ = 371608473600.

The previous prime is 1058080413121. The next prime is 1058080413179. The reversal of 1058080413130 is 313140808501.

It is a happy number.

It is a super-2 number, since 2×10580804131302 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 96420324 + ... + 96431296.

It is an arithmetic number, because the mean of its divisors is an integer number (16824985632).

Almost surely, 21058080413130 is an apocalyptic number.

1058080413130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1058080413130 is an abundant number, since it is smaller than the sum of its proper divisors (1095517747766).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1058080413130 is a wasteful number, since it uses less digits than its factorization.

1058080413130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11432.

The product of its (nonzero) digits is 11520, while the sum is 34.

The spelling of 1058080413130 in words is "one trillion, fifty-eight billion, eighty million, four hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 5 10 13 26 31 62 65 71 130 142 155 310 337 355 403 674 710 806 923 1685 1846 2015 2201 3370 4030 4381 4402 4615 8762 9230 10447 10973 11005 20894 21905 21946 22010 23927 28613 43810 47854 52235 54865 57226 104470 109730 119635 135811 142649 143065 239270 271622 285298 286130 311051 340163 622102 679055 680326 713245 741737 779083 1358110 1426490 1483474 1555255 1558166 1700815 3110510 3401630 3697901 3708685 3895415 4422119 7395802 7417370 7790830 8844238 9642581 10128079 18489505 19285162 20256158 22110595 24151573 36979010 44221190 48072713 48212905 48303146 50640395 96145426 96425810 101280790 114634931 120757865 229269862 240363565 241515730 262550971 313970449 480727130 525101942 573174655 627940898 1146349310 1312754855 1490254103 1569852245 2625509710 2980508206 3139704490 3413162623 6826325246 7451270515 8139080101 14902541030 16278160202 17065813115 34131626230 40695400505 81390801010 105808041313 211616082626 529040206565 1058080413130