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330121013130131 = 23251601104990703
BaseRepresentation
bin100101100001111100100100…
…1101110000111001110010011
31121021212021001000012022002212
41023003321021232013032103
5321232200313330131011
63130035255542502335
7126351312310616666
oct11303711156071623
91537767030168085
10330121013130131
1196206598747323
12310377b74349ab
131122837c8b4ac2
145b73d298d36dd
15282731251508b
hex12c3e49b87393

330121013130131 has 32 divisors (see below), whose sum is σ = 346756022323200. Its totient is φ = 313683796800000.

The previous prime is 330121013130089. The next prime is 330121013130157. The reversal of 330121013130131 is 131031310121033.

It is a cyclic number.

It is not a de Polignac number, because 330121013130131 - 210 = 330121013129107 is a prime.

It is a super-2 number, since 2×3301210131301312 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 330121013130097 and 330121013130106.

It is not an unprimeable number, because it can be changed into a prime (330121013130431) 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, 3639536726 + ... + 3639627428.

It is an arithmetic number, because the mean of its divisors is an integer number (10836125697600).

Almost surely, 2330121013130131 is an apocalyptic number.

330121013130131 is a deficient number, since it is larger than the sum of its proper divisors (16635009193069).

330121013130131 is a wasteful number, since it uses less digits than its factorization.

330121013130131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92627.

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 330121013130131 its reverse (131031310121033), we get a palindrome (461152323251164).

The spelling of 330121013130131 in words is "three hundred thirty trillion, one hundred twenty-one billion, thirteen million, one hundred thirty thousand, one hundred thirty-one".

Divisors: 1 23 251 601 1049 5773 13823 24127 90703 150851 263299 630449 2086169 3469573 6055877 14500327 22766453 54512503 95147447 158242699 523628419 1253787569 2188391281 3639582077 13682638253 23882009197 57183615647 314700679819 549286211531 1315223159881 14353087527397 330121013130131