Search a number
-
+
32021032323330 = 23254321139214069
BaseRepresentation
bin1110100011111011110100…
…10000011100100100000010
311012101011212210120100002100
413101331322100130210002
513144113033233321310
6152034131551531230
76513305013605211
oct721757220344402
9135334783510070
1032021032323330
11a226052a61736
123711a82b29b16
1314b37551c4a4b
147c9b7d285078
153a7e1948aec0
hex1d1f7a41c902

32021032323330 has 96 divisors (see below), whose sum is σ = 85594589720640. Its totient is φ = 8300833914240.

The previous prime is 32021032323323. The next prime is 32021032323347. The reversal of 32021032323330 is 3332323012023.

32021032323330 is a `hidden beast` number, since 3 + 2 + 0 + 2 + 1 + 0 + 3 + 2 + 323 + 330 = 666.

It is a super-2 number, since 2×320210323233302 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32021032323294 and 32021032323303.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18790465 + ... + 20423604.

It is an arithmetic number, because the mean of its divisors is an integer number (891610309590).

Almost surely, 232021032323330 is an apocalyptic number.

32021032323330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

32021032323330 is an abundant number, since it is smaller than the sum of its proper divisors (53573557397310).

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

32021032323330 is a wasteful number, since it uses less digits than its factorization.

32021032323330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39214336 (or 39214333 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 32021032323330 its reverse (3332323012023), we get a palindrome (35353355335353).

The spelling of 32021032323330 in words is "thirty-two trillion, twenty-one billion, thirty-two million, three hundred twenty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 43 45 86 90 129 211 215 258 387 422 430 633 645 774 1055 1266 1290 1899 1935 2110 3165 3798 3870 6330 9073 9495 18146 18990 27219 45365 54438 81657 90730 136095 163314 272190 408285 816570 39214069 78428138 117642207 196070345 235284414 352926621 392140690 588211035 705853242 1176422070 1686204967 1764633105 3372409934 3529266210 5058614901 8274168559 8431024835 10117229802 15175844703 16548337118 16862049670 24822505677 25293074505 30351689406 41370842795 49645011354 50586149010 74467517031 75879223515 82741685590 124112528385 148935034062 151758447030 248225056770 355789248037 372337585155 711578496074 744675170310 1067367744111 1778946240185 2134735488222 3202103232333 3557892480370 5336838720555 6404206464666 10673677441110 16010516161665 32021032323330