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13344312010 = 2517229891789
BaseRepresentation
bin11000110110110001…
…00000101011001010
31021102222200021202011
430123120200223022
5204312120441020
610044050530134
7651453531511
oct143330405312
937388607664
1013344312010
115728575137
122704b9694a
131348815c13
14908395678
155317b535a
hex31b620aca

13344312010 has 96 divisors (see below), whose sum is σ = 26707158000. Its totient is φ = 4793327616.

The previous prime is 13344311983. The next prime is 13344312013. The reversal of 13344312010 is 1021344331.

It can be written as a sum of positive squares in 24 ways, for example, as 1526230489 + 11818081521 = 39067^2 + 108711^2 .

It is not an unprimeable number, because it can be changed into a prime (13344312013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7458196 + ... + 7459984.

Almost surely, 213344312010 is an apocalyptic number.

13344312010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13344312010 is an abundant number, since it is smaller than the sum of its proper divisors (13362845990).

13344312010 is a wasteful number, since it uses less digits than its factorization.

13344312010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1948 (or 1931 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 13344312010 its reverse (1021344331), we get a palindrome (14365656341).

The spelling of 13344312010 in words is "thirteen billion, three hundred forty-four million, three hundred twelve thousand, ten".

Divisors: 1 2 5 10 17 29 34 58 85 89 145 170 178 289 290 445 493 578 890 986 1445 1513 1789 2465 2581 2890 3026 3578 4930 5162 7565 8381 8945 12905 15130 16762 17890 25721 25810 30413 41905 43877 51442 51881 60826 83810 87754 103762 128605 152065 159221 219385 257210 259405 304130 318442 438770 517021 518810 745909 796105 881977 1034042 1491818 1592210 1763954 2585105 2706757 3729545 4409885 4617409 5170210 5413514 7459090 8819770 9234818 13533785 14993609 23087045 27067570 29987218 46014869 46174090 74968045 78495953 92029738 149936090 156991906 230074345 392479765 460148690 784959530 1334431201 2668862402 6672156005 13344312010