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13042113210 = 2335717405917
BaseRepresentation
bin11000010010101111…
…01101101010111010
31020122221000222221000
430021113231222322
5203202240110320
65554053425430
7641124063450
oct141127555272
936587028830
1013042113210
115592a29765
12263b93b276
1312cb028369
148ba1ac9d0
15514ebec90
hex3095edaba

13042113210 has 128 divisors (see below), whose sum is σ = 42085578240. Its totient is φ = 2805691392.

The previous prime is 13042113187. The next prime is 13042113211. The reversal of 13042113210 is 1231124031.

13042113210 is a `hidden beast` number, since 1 + 30 + 421 + 1 + 3 + 210 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13042113211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 170829 + ... + 235088.

It is an arithmetic number, because the mean of its divisors is an integer number (328793580).

Almost surely, 213042113210 is an apocalyptic number.

13042113210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13042113210 is an abundant number, since it is smaller than the sum of its proper divisors (29043465030).

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

13042113210 is a wasteful number, since it uses less digits than its factorization.

13042113210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405957 (or 405951 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13042113210 its reverse (1231124031), we get a palindrome (14273237241).

The spelling of 13042113210 in words is "thirteen billion, forty-two million, one hundred thirteen thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 17 18 21 27 30 34 35 42 45 51 54 63 70 85 90 102 105 119 126 135 153 170 189 210 238 255 270 306 315 357 378 459 510 595 630 714 765 918 945 1071 1190 1530 1785 1890 2142 2295 3213 3570 4590 5355 6426 10710 16065 32130 405917 811834 1217751 2029585 2435502 2841419 3653253 4059170 5682838 6088755 6900589 7306506 8524257 10959759 12177510 13801178 14207095 17048514 18266265 20701767 21919518 25572771 28414190 34502945 36532530 41403534 42621285 48304123 51145542 54798795 62105301 69005890 76718313 85242570 96608246 103508835 109597590 124210602 127863855 144912369 153436626 186315903 207017670 241520615 255727710 289824738 310526505 372631806 383591565 434737107 483041230 621053010 724561845 767183130 869474214 931579515 1304211321 1449123690 1863159030 2173685535 2608422642 4347371070 6521056605 13042113210