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413212442121 = 3361713533633
BaseRepresentation
bin1100000001101010110…
…00010111111000001001
31110111120111002222021000
412000311120113320021
523232224341121441
6513454400405213
741565534543303
oct6006530277011
91414514088230
10413212442121
1114a273718756
1268100016809
132cc72a3262b
1415ddcc2c973
15ab368112b6
hex6035617e09

413212442121 has 32 divisors (see below), whose sum is σ = 630965687040. Its totient is φ = 267142579200.

The previous prime is 413212442113. The next prime is 413212442143. The reversal of 413212442121 is 121244212314.

413212442121 is a `hidden beast` number, since 4 + 1 + 3 + 212 + 4 + 421 + 21 = 666.

It is not a de Polignac number, because 413212442121 - 23 = 413212442113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (413212442521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1649880 + ... + 1883753.

It is an arithmetic number, because the mean of its divisors is an integer number (19717677720).

Almost surely, 2413212442121 is an apocalyptic number.

It is an amenable number.

413212442121 is a deficient number, since it is larger than the sum of its proper divisors (217753244919).

413212442121 is a wasteful number, since it uses less digits than its factorization.

413212442121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3533774 (or 3533768 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 413212442121 its reverse (121244212314), we get a palindrome (534456654435).

The spelling of 413212442121 in words is "four hundred thirteen billion, two hundred twelve million, four hundred forty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 27 61 71 183 213 549 639 1647 1917 4331 12993 38979 116937 3533633 10600899 31802697 95408091 215551613 250887943 646654839 752663829 1939964517 2257991487 5819893551 6773974461 15304164523 45912493569 137737480707 413212442121