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13320440430 = 2351179895741
BaseRepresentation
bin11000110011111010…
…11100101001101110
31021101022202111002120
430121331130221232
5204240013043210
610041435133410
7651043606203
oct143175345156
937338674076
1013320440430
115716050060
1226b8ba4266
1313438a851b
1490513dcaa
1552e64c270
hex319f5ca6e

13320440430 has 128 divisors (see below), whose sum is σ = 35719833600. Its totient is φ = 3151948800.

The previous prime is 13320440377. The next prime is 13320440477. The reversal of 13320440430 is 3404402331.

It is a self number, because there is not a number n which added to its sum of digits gives 13320440430.

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, 2317360 + ... + 2323100.

It is an arithmetic number, because the mean of its divisors is an integer number (279061200).

Almost surely, 213320440430 is an apocalyptic number.

13320440430 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 13320440430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17859916800).

13320440430 is an abundant number, since it is smaller than the sum of its proper divisors (22399393170).

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

13320440430 is a wasteful number, since it uses less digits than its factorization.

13320440430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5930.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 13320440430 its reverse (3404402331), we get a palindrome (16724842761).

The spelling of 13320440430 in words is "thirteen billion, three hundred twenty million, four hundred forty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 79 89 110 158 165 178 237 267 330 395 445 474 534 790 869 890 979 1185 1335 1738 1958 2370 2607 2670 2937 4345 4895 5214 5741 5874 7031 8690 9790 11482 13035 14062 14685 17223 21093 26070 28705 29370 34446 35155 42186 57410 63151 70310 77341 86115 105465 126302 154682 172230 189453 210930 232023 315755 378906 386705 453539 464046 510949 631510 773410 907078 947265 1021898 1160115 1360617 1532847 1894530 2267695 2320230 2554745 2721234 3065694 4535390 4988929 5109490 5620439 6803085 7664235 9977858 11240878 13606170 14966787 15328470 16861317 24944645 28102195 29933574 33722634 40364971 49889290 56204390 74833935 80729942 84306585 121094913 149667870 168613170 201824855 242189826 403649710 444014681 605474565 888029362 1210949130 1332044043 2220073405 2664088086 4440146810 6660220215 13320440430