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330120121302101 = 13241521574315923
BaseRepresentation
bin100101100001111100001010…
…0100100000011110001010101
31121021212011201212001202001002
41023003320110210003301111
5321232142002023131401
63130035031243513045
7126351251231325164
oct11303702444036125
91537764655052032
10330120121302101
1196206180296769
12310375a8828785
1311228269bbcc00
145b73c832a33db
1528272ae09ea6b
hex12c3e14903c55

330120121302101 has 48 divisors (see below), whose sum is σ = 366975848477952. Its totient is φ = 296652997555200.

The previous prime is 330120121302001. The next prime is 330120121302109. The reversal of 330120121302101 is 101203121021033.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-330120121302101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330120121302109) 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, 20732273726 + ... + 20732289648.

It is an arithmetic number, because the mean of its divisors is an integer number (7645330176624).

Almost surely, 2330120121302101 is an apocalyptic number.

It is an amenable number.

330120121302101 is a deficient number, since it is larger than the sum of its proper divisors (36855727175851).

330120121302101 is a wasteful number, since it uses less digits than its factorization.

330120121302101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22254 (or 22241 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 330120121302101 its reverse (101203121021033), we get a palindrome (431323242323134).

The spelling of 330120121302101 in words is "three hundred thirty trillion, one hundred twenty billion, one hundred twenty-one million, three hundred two thousand, one hundred one".

Divisors: 1 13 41 169 521 533 5743 6773 6929 15923 21361 74659 88049 206999 235463 277693 652843 970567 2690987 2992103 3061019 3610009 8295883 8486959 38897339 39793247 91445789 107846479 110330467 122676223 340131203 505665407 1188795257 1402004227 1594790899 3749277349 4421705639 15454338341 20732281687 47643256069 48740605537 57482173307 619362328897 633627871981 1953373498829 8051710275661 25393855484777 330120121302101