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330020210000 = 2454132538617
BaseRepresentation
bin1001100110101101011…
…11001100010101010000
31011112211200020201000202
410303112233030111100
520401340133210000
6411335330234332
732562131333435
oct4632657142520
91145750221022
10330020210000
11117a62894408
1253b631259a8
132517544b890
1411d8a12bb8c
1588b7e7add5
hex4cd6bcc550

330020210000 has 100 divisors (see below), whose sum is σ = 860474725572. Its totient is φ = 121853568000.

The previous prime is 330020209999. The next prime is 330020210017. The reversal of 330020210000 is 12020033.

It can be written as a sum of positive squares in 10 ways, for example, as 328365673024 + 1654536976 = 573032^2 + 40676^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 1139309 + ... + 1399308.

Almost surely, 2330020210000 is an apocalyptic number.

It is an amenable number.

330020210000 is an abundant number, since it is smaller than the sum of its proper divisors (530454515572).

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

330020210000 is a wasteful number, since it uses less digits than its factorization.

330020210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2538658 (or 2538637 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

Adding to 330020210000 its reverse (12020033), we get a palindrome (330032230033).

The spelling of 330020210000 in words is "three hundred thirty billion, twenty million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 625 650 1000 1040 1250 1300 1625 2000 2500 2600 3250 5000 5200 6500 8125 10000 13000 16250 26000 32500 65000 130000 2538617 5077234 10154468 12693085 20308936 25386170 33002021 40617872 50772340 63465425 66004042 101544680 126930850 132008084 165010105 203089360 253861700 264016168 317327125 330020210 507723400 528032336 634654250 660040420 825050525 1015446800 1269308500 1320080840 1586635625 1650101050 2538617000 2640161680 3173271250 3300202100 4125252625 5077234000 6346542500 6600404200 8250505250 12693085000 13200808400 16501010500 20626263125 25386170000 33002021000 41252526250 66004042000 82505052500 165010105000 330020210000