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13032230430 = 23517311934271
BaseRepresentation
bin11000010001100100…
…00000111000011110
31020122020102220022010
430020302000320132
5203142222333210
65553101532050
7640644062622
oct141062007036
936566386263
1013032230430
11558839967a
122638574026
1312c8c77c6b
148b8b59182
155141bb920
hex308c80e1e

13032230430 has 128 divisors (see below), whose sum is σ = 34370666496. Its totient is φ = 3148185600.

The previous prime is 13032230401. The next prime is 13032230437. The reversal of 13032230430 is 3403223031.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13032230397 and 13032230406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13032230437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3049195 + ... + 3053465.

It is an arithmetic number, because the mean of its divisors is an integer number (268520832).

Almost surely, 213032230430 is an apocalyptic number.

13032230430 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 13032230430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17185333248).

13032230430 is an abundant number, since it is smaller than the sum of its proper divisors (21338436066).

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

13032230430 is a wasteful number, since it uses less digits than its factorization.

13032230430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4522.

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 13032230430 its reverse (3403223031), we get a palindrome (16435453461).

The spelling of 13032230430 in words is "thirteen billion, thirty-two million, two hundred thirty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 31 34 51 62 85 93 102 155 170 186 193 255 310 386 465 510 527 579 930 965 1054 1158 1581 1930 2635 2895 3162 3281 4271 5270 5790 5983 6562 7905 8542 9843 11966 12813 15810 16405 17949 19686 21355 25626 29915 32810 35898 42710 49215 59830 64065 72607 89745 98430 101711 128130 132401 145214 179490 203422 217821 264802 305133 363035 397203 435642 508555 610266 662005 726070 794406 824303 1017110 1089105 1324010 1525665 1648606 1986015 2178210 2250817 2472909 3051330 3972030 4121515 4501634 4945818 6752451 8243030 11254085 12364545 13504902 14013151 22508170 24729090 25553393 28026302 33762255 42039453 51106786 67524510 70065755 76660179 84078906 127766965 140131510 153320358 210197265 255533930 383300895 420394530 434407681 766601790 868815362 1303223043 2172038405 2606446086 4344076810 6516115215 13032230430