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13233143220 = 223511210118047
BaseRepresentation
bin11000101001100000…
…11011110110110100
31021011020111022211120
430110300123312310
5204100141040340
610025040103540
7645633601323
oct142460336664
937136438746
1013233143220
115680845400
122693904bb0
13132b79187b
148d76d80ba
15526b564d0
hex314c1bdb4

13233143220 has 144 divisors (see below), whose sum is σ = 41132980224. Its totient is φ = 3176096000.

The previous prime is 13233143137. The next prime is 13233143221. The reversal of 13233143220 is 2234133231.

13233143220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13233143221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 724237 + ... + 742283.

It is an arithmetic number, because the mean of its divisors is an integer number (285645696).

Almost surely, 213233143220 is an apocalyptic number.

13233143220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13233143220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20566490112).

13233143220 is an abundant number, since it is smaller than the sum of its proper divisors (27899837004).

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

13233143220 is a wasteful number, since it uses less digits than its factorization.

13233143220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18182 (or 18169 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 13233143220 its reverse (2234133231), we get a palindrome (15467276451).

The spelling of 13233143220 in words is "thirteen billion, two hundred thirty-three million, one hundred forty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 101 110 121 132 165 202 220 242 303 330 363 404 484 505 605 606 660 726 1010 1111 1210 1212 1452 1515 1815 2020 2222 2420 3030 3333 3630 4444 5555 6060 6666 7260 11110 12221 13332 16665 18047 22220 24442 33330 36094 36663 48884 54141 61105 66660 72188 73326 90235 108282 122210 146652 180470 183315 198517 216564 244420 270705 360940 366630 397034 541410 595551 733260 794068 992585 1082820 1191102 1822747 1985170 2183687 2382204 2977755 3645494 3970340 4367374 5468241 5955510 6551061 7290988 8734748 9113735 10918435 10936482 11911020 13102122 18227470 20050217 21836870 21872964 26204244 27341205 32755305 36454940 40100434 43673740 54682410 60150651 65510610 80200868 100251085 109364820 120301302 131021220 200502170 220552387 240602604 300753255 401004340 441104774 601506510 661657161 882209548 1102761935 1203013020 1323314322 2205523870 2646628644 3308285805 4411047740 6616571610 13233143220