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412341104011331 = 111011038673573263
BaseRepresentation
bin101110111000001011010010…
…1000001111110100001000011
32000001222102110111201101000102
41131300112211001332201003
5413021244040111330311
64020550515455513015
7152565442644132155
oct13560264501764103
92001872414641012
10412341104011331
1110a42597555a8a0
123a2b657552876b
13149107a3775221
1473b75b73daad5
1532a0e120be43b
hex17705a507e843

412341104011331 has 16 divisors (see below), whose sum is σ = 454284889026048. Its totient is φ = 371140430892000.

The previous prime is 412341104011321. The next prime is 412341104011379. The reversal of 412341104011331 is 133110401143214.

It is not a de Polignac number, because 412341104011331 - 210 = 412341104010307 is a prime.

It is a super-3 number, since 3×4123411040113313 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 412341104011294 and 412341104011303.

It is not an unprimeable number, because it can be changed into a prime (412341104011321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113609606 + ... + 117182868.

It is an arithmetic number, because the mean of its divisors is an integer number (28392805564128).

Almost surely, 2412341104011331 is an apocalyptic number.

412341104011331 is a deficient number, since it is larger than the sum of its proper divisors (41943785014717).

412341104011331 is a wasteful number, since it uses less digits than its factorization.

412341104011331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3677242.

The product of its (nonzero) digits is 3456, while the sum is 29.

Adding to 412341104011331 its reverse (133110401143214), we get a palindrome (545451505154545).

The spelling of 412341104011331 in words is "four hundred twelve trillion, three hundred forty-one billion, one hundred four million, eleven thousand, three hundred thirty-one".

Divisors: 1 11 101 1111 103867 1142537 3573263 10490567 39305893 115396237 360899563 3969895193 371144108021 4082585188231 37485554910121 412341104011331