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330034030323021 = 325919731193326399
BaseRepresentation
bin100101100001010100000100…
…1001001000010010101001101
31121021112221112000200212112100
41023002220021021002111031
5321224234143230314041
63125531312423225313
7126342112636144113
oct11302501111022515
91537487460625470
10330034030323021
1196182712169982
1231022980ba8239
13112200c9bb687b
145b6da375d5ab3
152824e20ec66b6
hex12c2a0924254d

330034030323021 has 48 divisors (see below), whose sum is σ = 485100487872000. Its totient is φ = 216157557215616.

The previous prime is 330034030323007. The next prime is 330034030323061. The reversal of 330034030323021 is 120323030430033.

It is a happy number.

330034030323021 is a `hidden beast` number, since 3 + 3 + 0 + 0 + 3 + 403 + 0 + 3 + 230 + 21 = 666.

It is not a de Polignac number, because 330034030323021 - 213 = 330034030314829 is a prime.

It is a super-2 number, since 2×3300340303230212 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330034030323061) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12501749380 + ... + 12501775778.

It is an arithmetic number, because the mean of its divisors is an integer number (10106260164000).

Almost surely, 2330034030323021 is an apocalyptic number.

It is an amenable number.

330034030323021 is a deficient number, since it is larger than the sum of its proper divisors (155066457548979).

330034030323021 is a wasteful number, since it uses less digits than its factorization.

330034030323021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40370 (or 40367 counting only the distinct ones).

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

Adding to 330034030323021 its reverse (120323030430033), we get a palindrome (450357060753054).

The spelling of 330034030323021 in words is "three hundred thirty trillion, thirty-four billion, thirty million, three hundred twenty-three thousand, twenty-one".

Divisors: 1 3 9 59 177 531 1973 5919 11933 17757 26399 35799 79197 107397 116407 237591 349221 704047 1047663 1557541 2112141 4672623 6336423 14017869 23543809 52085227 70631427 156255681 211894281 315019267 468767043 945057801 1389084731 2835173403 3073028393 4167254193 9219085179 12501762579 18586136753 27657255537 55758410259 167275230777 621533013791 1864599041373 5593797124119 36670447813669 110011343441007 330034030323021