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330032013030 = 23351297942437
BaseRepresentation
bin1001100110101110111…
…00001101111011100110
31011112212111110100202000
410303113130031323212
520401401143404110
6411340431230130
732562333552546
oct4632734157346
91145774410660
10330032013030
11117a69516185
1253b67078346
1325177a22015
1411d8b921326
1588b900d1c0
hex4cd770dee6

330032013030 has 64 divisors (see below), whose sum is σ = 880764857280. Its totient is φ = 87940588032.

The previous prime is 330032013023. The next prime is 330032013041. The reversal of 330032013030 is 30310230033.

330032013030 is a `hidden beast` number, since 3 + 300 + 320 + 13 + 0 + 30 = 666.

It is a super-2 number, since 2×3300320130302 (a number of 24 digits) contains 22 as substring.

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 = 330032012994 and 330032013012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121029 + ... + 821408.

It is an arithmetic number, because the mean of its divisors is an integer number (13761950895).

Almost surely, 2330032013030 is an apocalyptic number.

330032013030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

330032013030 is an abundant number, since it is smaller than the sum of its proper divisors (550732844250).

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

330032013030 is a wasteful number, since it uses less digits than its factorization.

330032013030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943750 (or 943744 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

Adding to 330032013030 its reverse (30310230033), we get a palindrome (360342243063).

The spelling of 330032013030 in words is "three hundred thirty billion, thirty-two million, thirteen thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 1297 2594 3891 6485 7782 11673 12970 19455 23346 35019 38910 58365 70038 116730 175095 350190 942437 1884874 2827311 4712185 5654622 8481933 9424370 14136555 16963866 25445799 28273110 42409665 50891598 84819330 127228995 254457990 1222340789 2444681578 3667022367 6111703945 7334044734 11001067101 12223407890 18335111835 22002134202 33003201303 36670223670 55005335505 66006402606 110010671010 165016006515 330032013030