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334131002113041 = 347620119503093
BaseRepresentation
bin100101111111000111110111…
…1101100000111110000010001
31121211001121112000220220120000
41023332033233230013300101
5322243400243020104131
63142345355135240213
7130244111500601220
oct11376175754076021
91554047460826500
10334131002113041
1197512186a08671
12315849b0679069
13114595590111c3
145c72053728cb7
1528967aa403ce6
hex12fe3efb07c11

334131002113041 has 40 divisors (see below), whose sum is σ = 570448077443904. Its totient is φ = 190928902114080.

The previous prime is 334131002113039. The next prime is 334131002113057. The reversal of 334131002113041 is 140311200131433.

334131002113041 is a `hidden beast` number, since 3 + 3 + 41 + 3 + 100 + 211 + 304 + 1 = 666.

It is not a de Polignac number, because 334131002113041 - 21 = 334131002113039 is a prime.

It is a super-2 number, since 2×3341310021130412 (a number of 30 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 334131002112996 and 334131002113014.

It is not an unprimeable number, because it can be changed into a prime (334131002113001) 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, 30408691 + ... + 39911783.

Almost surely, 2334131002113041 is an apocalyptic number.

It is an amenable number.

334131002113041 is a deficient number, since it is larger than the sum of its proper divisors (236317075330863).

334131002113041 is an equidigital number, since it uses as much as digits as its factorization.

334131002113041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9565123 (or 9565114 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 334131002113041 its reverse (140311200131433), we get a palindrome (474442202244474).

The spelling of 334131002113041 in words is "three hundred thirty-four trillion, one hundred thirty-one billion, two million, one hundred thirteen thousand, forty-one".

Divisors: 1 3 7 9 21 27 63 81 189 567 62011 186033 434077 558099 1302231 1674297 3906693 5022891 9503093 11720079 28509279 35160237 66521651 85527837 199564953 256583511 598694859 769750533 1796084577 5388253731 589296300023 1767888900069 4125074100161 5303666700207 12375222300483 15911000100621 37125666901449 47733000301863 111377000704347 334131002113041