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13070090943 = 32713174012341
BaseRepresentation
bin11000010110000100…
…11100001010111111
31020201212200102011100
430023002130022333
5203231420402233
610000533224143
7641613640260
oct141302341277
936655612140
1013070090943
1155a77a8858
122649192053
131303a72a30
148bdbb2967
15517699813
hex30b09c2bf

13070090943 has 96 divisors (see below), whose sum is σ = 24674412672. Its totient is φ = 6469632000.

The previous prime is 13070090923. The next prime is 13070090983. The reversal of 13070090943 is 34909007031.

13070090943 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13070090943 - 217 = 13069959871 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13070090898 and 13070090907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13070090923) 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 95 ways as a sum of consecutive naturals, for example, 5581953 + ... + 5584293.

It is an arithmetic number, because the mean of its divisors is an integer number (257025132).

Almost surely, 213070090943 is an apocalyptic number.

13070090943 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13070090943 is a deficient number, since it is larger than the sum of its proper divisors (11604321729).

13070090943 is a wasteful number, since it uses less digits than its factorization.

13070090943 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2785 (or 2782 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

Adding to 13070090943 its reverse (34909007031), we get a palindrome (47979097974).

The spelling of 13070090943 in words is "thirteen billion, seventy million, ninety thousand, nine hundred forty-three".

Divisors: 1 3 7 9 13 17 21 39 51 63 91 117 119 153 221 273 357 401 663 819 1071 1203 1547 1989 2341 2807 3609 4641 5213 6817 7023 8421 13923 15639 16387 20451 21069 25263 30433 36491 39797 46917 47719 49161 61353 88621 91299 109473 119391 143157 147483 213031 265863 273897 278579 328419 358173 429471 517361 620347 639093 797589 835737 938741 1552083 1861041 1917279 2507211 2816223 3621527 4656249 5583123 6571187 8448669 10864581 12203633 15958597 19713561 32593743 36610899 47875791 59140683 85425431 109832697 111710179 143627373 207461761 256276293 335130537 622385283 768828879 1005391611 1452232327 1867155849 4356696981 13070090943