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13400135010 = 2325187379493
BaseRepresentation
bin11000111101011010…
…11101010101100010
31021120212201101111200
430132231131111202
5204420413310020
610053403222030
7653032161003
oct143655352542
937525641450
1013400135010
115757032849
12271b817916
13135725c892
149119671aa
15536640590
hex31eb5d562

13400135010 has 48 divisors (see below), whose sum is σ = 34859390904. Its totient is φ = 3571416576.

The previous prime is 13400134991. The next prime is 13400135027. The reversal of 13400135010 is 1053100431.

It can be written as a sum of positive squares in 4 ways, for example, as 9747020529 + 3653114481 = 98727^2 + 60441^2 .

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 128824 + ... + 208316.

Almost surely, 213400135010 is an apocalyptic number.

13400135010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13400135010 is an abundant number, since it is smaller than the sum of its proper divisors (21459255894).

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

13400135010 is a wasteful number, since it uses less digits than its factorization.

13400135010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81379 (or 81376 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 13400135010 its reverse (1053100431), we get a palindrome (14453235441).

The spelling of 13400135010 in words is "thirteen billion, four hundred million, one hundred thirty-five thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1873 3746 5619 9365 11238 16857 18730 28095 33714 56190 79493 84285 158986 168570 238479 397465 476958 715437 794930 1192395 1430874 2384790 3577185 7154370 148890389 297780778 446671167 744451945 893342334 1340013501 1488903890 2233355835 2680027002 4466711670 6700067505 13400135010