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32231130030 = 232511173188189
BaseRepresentation
bin11110000001001000…
…000000001110101110
310002012020120001101200
4132001020000032232
51012002132130110
622450132550330
72220501041061
oct360110001656
9102166501350
1032231130030
111273a6a6050
1262b61823a6
1330686a5b98
1417ba8aa8d8
15c899446c0
hex7812003ae

32231130030 has 96 divisors (see below), whose sum is σ = 91948128480. Its totient is φ = 7768400640.

The previous prime is 32231130011. The next prime is 32231130031. The reversal of 32231130030 is 3003113223.

32231130030 is a `hidden beast` number, since 3 + 22 + 311 + 300 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 32231129985 and 32231130012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32231130031) 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 47 ways as a sum of consecutive naturals, for example, 77176 + ... + 265364.

It is an arithmetic number, because the mean of its divisors is an integer number (957793005).

Almost surely, 232231130030 is an apocalyptic number.

32231130030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32231130030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45974064240).

32231130030 is an abundant number, since it is smaller than the sum of its proper divisors (59716998450).

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

32231130030 is a wasteful number, since it uses less digits than its factorization.

32231130030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188386 (or 188383 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 32231130030 its reverse (3003113223), we get a palindrome (35234243253).

It can be divided in two parts, 32231 and 130030, that added together give a palindrome (162261).

The spelling of 32231130030 in words is "thirty-two billion, two hundred thirty-one million, one hundred thirty thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 173 198 330 346 495 519 865 990 1038 1557 1730 1903 2595 3114 3806 5190 5709 7785 9515 11418 15570 17127 19030 28545 34254 57090 85635 171270 188189 376378 564567 940945 1129134 1693701 1881890 2070079 2822835 3387402 4140158 5645670 6210237 8468505 10350395 12420474 16937010 18630711 20700790 31051185 32556697 37261422 62102370 65113394 93153555 97670091 162783485 186307110 195340182 293010273 325566970 358123667 488350455 586020546 716247334 976700910 1074371001 1465051365 1790618335 2148742002 2930102730 3223113003 3581236670 5371855005 6446226006 10743710010 16115565015 32231130030