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10413324030 = 23537611131361
BaseRepresentation
bin10011011001010111…
…01011011011111110
3222212201111200002210
421230223223123332
5132311302332110
64441145401250
7516023536164
oct115453533376
928781450083
1010413324030
11446406051a
122027499226
13c9c5155c5
1470add5234
1540e304520
hex26caeb6fe

10413324030 has 128 divisors (see below), whose sum is σ = 26338421376. Its totient is φ = 2632089600.

The previous prime is 10413324029. The next prime is 10413324043. The reversal of 10413324030 is 3042331401.

It is a junction number, because it is equal to n+sod(n) for n = 10413323988 and 10413324006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7650550 + ... + 7651910.

It is an arithmetic number, because the mean of its divisors is an integer number (205768917).

Almost surely, 210413324030 is an apocalyptic number.

10413324030 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 10413324030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13169210688).

10413324030 is an abundant number, since it is smaller than the sum of its proper divisors (15925097346).

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

10413324030 is a wasteful number, since it uses less digits than its factorization.

10413324030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1582.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 10413324030 its reverse (3042331401), we get a palindrome (13455655431).

The spelling of 10413324030 in words is "ten billion, four hundred thirteen million, three hundred twenty-four thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 37 61 74 111 113 122 183 185 222 226 305 339 366 370 555 565 610 678 915 1110 1130 1361 1695 1830 2257 2722 3390 4083 4181 4514 6771 6805 6893 8166 8362 11285 12543 13542 13610 13786 20415 20679 20905 22570 25086 33855 34465 40830 41358 41810 50357 62715 67710 68930 83021 100714 103395 125430 151071 153793 166042 206790 249063 251785 255041 302142 307586 415105 461379 498126 503570 510082 755355 765123 768965 830210 922758 1245315 1275205 1510710 1530246 1537930 2306895 2490630 2550410 3071777 3825615 4613790 5690341 6143554 7651230 9215331 9381373 11380682 15358885 17071023 18430662 18762746 28144119 28451705 30717770 34142046 46076655 46906865 56288238 56903410 85355115 92153310 93813730 140720595 170710230 281441190 347110801 694221602 1041332403 1735554005 2082664806 3471108010 5206662015 10413324030