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330121200311013 = 32912774409673943
BaseRepresentation
bin100101100001111100101010…
…0111000001001101011100101
31121021212021112001102002000010
41023003321110320021223211
5321232201204234423023
63130035330310440433
7126351320042623566
oct11303712470115345
91537767461362003
10330121200311013
1196206684374071
123103784a063119
13112283ac601317
145b73d466da16d
152827323b8b093
hex12c3e54e09ae5

330121200311013 has 32 divisors (see below), whose sum is σ = 455800188614400. Its totient is φ = 212276935625216.

The previous prime is 330121200310999. The next prime is 330121200311039. The reversal of 330121200311013 is 310113002121033.

It is a happy number.

It is not a de Polignac number, because 330121200311013 - 25 = 330121200310981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330121200311083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 489498520 + ... + 490172462.

It is an arithmetic number, because the mean of its divisors is an integer number (14243755894200).

Almost surely, 2330121200311013 is an apocalyptic number.

It is an amenable number.

330121200311013 is a deficient number, since it is larger than the sum of its proper divisors (125678988303387).

330121200311013 is a wasteful number, since it uses less digits than its factorization.

330121200311013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679661.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 330121200311013 its reverse (310113002121033), we get a palindrome (640234202432046).

The spelling of 330121200311013 in words is "three hundred thirty trillion, one hundred twenty-one billion, two hundred million, three hundred eleven thousand, thirteen".

Divisors: 1 3 29 87 1277 3831 4409 13227 37033 111099 127861 383583 673943 2021829 5630293 16890879 19544347 58633041 163278497 489835491 860625211 2581875633 2971414687 8914244061 24958131119 74874393357 86171025923 258513077769 3794496555299 11383489665897 110040400103671 330121200311013