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330023000100 = 223521278662021
BaseRepresentation
bin1001100110101101110…
…01110101100000100100
31011112211212111110022210
410303112321311200210
520401341342000400
6411335510123420
732562164134023
oct4632671654044
91145755443283
10330023000100
11117a6441a682
1253b64050570
1325175bb7821
1411d8a6568ba
1588b832c950
hex4cd6e75824

330023000100 has 72 divisors (see below), whose sum is σ = 962385292288. Its totient is φ = 87313161600.

The previous prime is 330023000081. The next prime is 330023000107. The reversal of 330023000100 is 1000320033.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (330023000107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4292911 + ... + 4369110.

Almost surely, 2330023000100 is an apocalyptic number.

330023000100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

330023000100 is an abundant number, since it is smaller than the sum of its proper divisors (632362292188).

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

330023000100 is a wasteful number, since it uses less digits than its factorization.

330023000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8662165 (or 8662158 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 330023000100 its reverse (1000320033), we get a palindrome (331023320133).

The spelling of 330023000100 in words is "three hundred thirty billion, twenty-three million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 127 150 254 300 381 508 635 762 1270 1524 1905 2540 3175 3810 6350 7620 9525 12700 19050 38100 8662021 17324042 25986063 34648084 43310105 51972126 86620210 103944252 129930315 173240420 216550525 259860630 433101050 519721260 649651575 866202100 1100076667 1299303150 2200153334 2598606300 3300230001 4400306668 5500383335 6600460002 11000766670 13200920004 16501150005 22001533340 27501916675 33002300010 55003833350 66004600020 82505750025 110007666700 165011500050 330023000100