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10413341330 = 2572172774513
BaseRepresentation
bin10011011001010111…
…01111101010010010
3222212201112112211112
421230223233222102
5132311303410310
64441150013322
7516023640500
oct115453575222
928781475745
1010413341330
114464072517
1220274a7242
13c9c520442
1470addb670
1540e309705
hex26caefa92

10413341330 has 96 divisors (see below), whose sum is σ = 23175345456. Its totient is φ = 3347398656.

The previous prime is 10413341327. The next prime is 10413341357. The reversal of 10413341330 is 3314331401.

It can be written as a sum of positive squares in 8 ways, for example, as 917423521 + 9495917809 = 30289^2 + 97447^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10413341296 and 10413341305.

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 47 ways as a sum of consecutive naturals, for example, 2305154 + ... + 2309666.

Almost surely, 210413341330 is an apocalyptic number.

10413341330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10413341330 is an abundant number, since it is smaller than the sum of its proper divisors (12762004126).

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

10413341330 is a wasteful number, since it uses less digits than its factorization.

10413341330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4828 (or 4821 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 10413341330 its reverse (3314331401), we get a palindrome (13727672731).

The spelling of 10413341330 in words is "ten billion, four hundred thirteen million, three hundred forty-one thousand, three hundred thirty".

Divisors: 1 2 5 7 10 14 17 34 35 49 70 85 98 119 170 238 245 277 490 554 595 833 1190 1385 1666 1939 2770 3878 4165 4513 4709 8330 9026 9418 9695 13573 19390 22565 23545 27146 31591 32963 45130 47090 63182 65926 67865 76721 135730 153442 157955 164815 221137 230741 315910 329630 383605 442274 461482 537047 767210 1074094 1105685 1153705 1250101 2211370 2307410 2500202 2685235 3759329 5370470 6250505 7518658 8750707 12501010 17501414 18796645 21251717 37593290 42503434 43753535 61254949 87507070 106258585 122509898 148762019 212517170 297524038 306274745 612549490 743810095 1041334133 1487620190 2082668266 5206670665 10413341330