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330102013300 = 225265317332917
BaseRepresentation
bin1001100110110111001…
…11001111110101110100
31011120001101011202001121
410303123213033311310
520402022103411200
6411351411433324
732564143550143
oct4633347176564
91146041152047
10330102013300
11117aa4a87444
1253b865b5844
13251893909b7
1411d96d4375a
1588c0238e1a
hex4cdb9cfd74

330102013300 has 72 divisors (see below), whose sum is σ = 718078399416. Its totient is φ = 131717352960.

The previous prime is 330102013291. The next prime is 330102013303. The reversal of 330102013300 is 3310201033.

It can be written as a sum of positive squares in 12 ways, for example, as 34537992336 + 295564020964 = 185844^2 + 543658^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330102013303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113163442 + ... + 113166358.

It is an arithmetic number, because the mean of its divisors is an integer number (9973311103).

Almost surely, 2330102013300 is an apocalyptic number.

It is an amenable number.

330102013300 is an abundant number, since it is smaller than the sum of its proper divisors (387976386116).

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

330102013300 is a wasteful number, since it uses less digits than its factorization.

330102013300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5317 (or 5310 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 330102013300 its reverse (3310201033), we get a palindrome (333412214333).

The spelling of 330102013300 in words is "three hundred thirty billion, one hundred two million, thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 653 1306 1733 2612 2917 3265 3466 5834 6530 6932 8665 11668 13060 14585 16325 17330 29170 32650 34660 43325 58340 65300 72925 86650 145850 173300 291700 1131649 1904801 2263298 3809602 4526596 5055161 5658245 7619204 9524005 10110322 11316490 19048010 20220644 22632980 25275805 28291225 38096020 47620025 50551610 56582450 95240050 101103220 113164900 126379025 190480100 252758050 505516100 3301020133 6602040266 13204080532 16505100665 33010201330 66020402660 82525503325 165051006650 330102013300