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103364024010 = 235131929481009
BaseRepresentation
bin110000001000011111…
…0011101011011001010
3100212210121122110122120
41200100332131123022
53143142142232020
6115252413432110
710316312464452
oct1402076353312
9325717573576
10103364024010
113a92232a135
121804849b636
13999374a4b0
145007b44d62
152a4e737740
hex1810f9d6ca

103364024010 has 128 divisors (see below), whose sum is σ = 290914848000. Its totient is φ = 23273091072.

The previous prime is 103364023957. The next prime is 103364024011. The reversal of 103364024010 is 10420463301.

It is not an unprimeable number, because it can be changed into a prime (103364024011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25615 + ... + 455394.

It is an arithmetic number, because the mean of its divisors is an integer number (2272772250).

Almost surely, 2103364024010 is an apocalyptic number.

103364024010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103364024010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145457424000).

103364024010 is an abundant number, since it is smaller than the sum of its proper divisors (187550823990).

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

103364024010 is a wasteful number, since it uses less digits than its factorization.

103364024010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481080.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 103364024010 its reverse (10420463301), we get a palindrome (113784487311).

The spelling of 103364024010 in words is "one hundred three billion, three hundred sixty-four million, twenty-four thousand, ten".

Divisors: 1 2 3 5 6 10 13 15 19 26 29 30 38 39 57 58 65 78 87 95 114 130 145 174 190 195 247 285 290 377 390 435 494 551 570 741 754 870 1102 1131 1235 1482 1653 1885 2262 2470 2755 3306 3705 3770 5510 5655 7163 7410 8265 11310 14326 16530 21489 35815 42978 71630 107445 214890 481009 962018 1443027 2405045 2886054 4810090 6253117 7215135 9139171 12506234 13949261 14430270 18278342 18759351 27417513 27898522 31265585 37518702 41847783 45695855 54835026 62531170 69746305 83695566 91391710 93796755 118809223 137087565 139492610 181340393 187593510 209238915 237618446 265035959 274175130 356427669 362680786 418477830 530071918 544021179 594046115 712855338 795107877 906701965 1088042358 1188092230 1325179795 1590215754 1782138345 1813403930 2650359590 2720105895 3445467467 3564276690 3975539385 5440211790 6890934934 7951078770 10336402401 17227337335 20672804802 34454674670 51682012005 103364024010