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13000331410 = 251129137151197
BaseRepresentation
bin11000001101110000…
…10101000010010010
31020120000102021001221
430012320111002102
5203111041101120
65550002115254
7640105664563
oct140670250222
936500367057
1013000331410
115571391450
12262994bb2a
1312c24897c1
148b481416a
155114ba0aa
hex306e15092

13000331410 has 128 divisors (see below), whose sum is σ = 26913047040. Its totient is φ = 4478208000.

The previous prime is 13000331369. The next prime is 13000331413. The reversal of 13000331410 is 1413300031.

It is not an unprimeable number, because it can be changed into a prime (13000331413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65991432 + ... + 65991628.

It is an arithmetic number, because the mean of its divisors is an integer number (210258180).

Almost surely, 213000331410 is an apocalyptic number.

13000331410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13000331410 is an abundant number, since it is smaller than the sum of its proper divisors (13912715630).

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

13000331410 is a wasteful number, since it uses less digits than its factorization.

13000331410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 13000331410 its reverse (1413300031), we get a palindrome (14413631441).

The spelling of 13000331410 in words is "thirteen billion, three hundred thirty-one thousand, four hundred ten".

Divisors: 1 2 5 10 11 22 29 55 58 110 137 145 151 197 274 290 302 319 394 638 685 755 985 1370 1507 1510 1595 1661 1970 2167 3014 3190 3322 3973 4334 4379 5713 7535 7946 8305 8758 10835 11426 15070 16610 19865 20687 21670 21895 26989 28565 29747 39730 41374 43703 43790 48169 53978 57130 59494 62843 87406 96338 103435 125686 134945 148735 206870 218515 227557 240845 269890 296879 297470 314215 327217 437030 455114 481690 593758 599923 628430 654434 782681 862663 1137785 1199846 1484395 1565362 1636085 1725326 2275570 2968790 2999615 3272170 3913405 4075339 4313315 5999230 6599153 7826810 8150678 8609491 8626630 9489293 13198306 17218982 18978586 20376695 32995765 40753390 43047455 44828729 47446465 65991530 86094910 89657458 94892930 118184831 224143645 236369662 448287290 590924155 1181848310 1300033141 2600066282 6500165705 13000331410