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330203121021 = 3414957747417
BaseRepresentation
bin1001100111000011010…
…00111100010101111101
31011120022102102112210000
410303201220330111331
520402223444333041
6411405422504513
732566512134634
oct4634150742575
91146272375700
10330203121021
11118047065144
1253bb4435139
13251a4301757
1411da654251b
1588c905bbb6
hex4ce1a3c57d

330203121021 has 40 divisors (see below), whose sum is σ = 497448012600. Its totient is φ = 218274435072.

The previous prime is 330203120963. The next prime is 330203121023. The reversal of 330203121021 is 120121302033.

330203121021 is a `hidden beast` number, since 330 + 2 + 0 + 312 + 1 + 0 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 31228191225 + 298974929796 = 176715^2 + 546786^2 .

It is not a de Polignac number, because 330203121021 - 219 = 330202596733 is a prime.

It is a super-3 number, since 3×3302031210213 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 330203120985 and 330203121003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330203121023) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6940105 + ... + 6987521.

It is an arithmetic number, because the mean of its divisors is an integer number (12436200315).

Almost surely, 2330203121021 is an apocalyptic number.

It is an amenable number.

330203121021 is a deficient number, since it is larger than the sum of its proper divisors (167244891579).

330203121021 is a wasteful number, since it uses less digits than its factorization.

330203121021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48155 (or 48146 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 330203121021 its reverse (120121302033), we get a palindrome (450324423054).

The spelling of 330203121021 in words is "three hundred thirty billion, two hundred three million, one hundred twenty-one thousand, twenty-one".

Divisors: 1 3 9 27 81 149 447 577 1341 1731 4023 5193 12069 15579 46737 47417 85973 142251 257919 426753 773757 1280259 2321271 3840777 6963813 7065133 21195399 27359609 63586197 82078827 190758591 246236481 572275773 738709443 2216128329 4076581741 12229745223 36689235669 110067707007 330203121021