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12031444404213 = 31315110192004943
BaseRepresentation
bin1010111100010100100111…
…1110000100011111110101
31120121012021001021100020220
42233011021332010133311
53034110344231413323
641331100320444553
72351146260024243
oct257051176043765
946535231240226
1012031444404213
113919563786123
121423936479759
136937390ac820
142d8479bb7793
1515ce737610e3
hexaf149f847f5

12031444404213 has 32 divisors (see below), whose sum is σ = 17407404994560. Its totient is φ = 7347711441600.

The previous prime is 12031444404179. The next prime is 12031444404227. The reversal of 12031444404213 is 31240444413021.

It is a happy number.

It is not a de Polignac number, because 12031444404213 - 212 = 12031444400117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12031444404233) 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, 4998420 + ... + 7003362.

It is an arithmetic number, because the mean of its divisors is an integer number (543981406080).

Almost surely, 212031444404213 is an apocalyptic number.

12031444404213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12031444404213 is a deficient number, since it is larger than the sum of its proper divisors (5375960590347).

12031444404213 is a wasteful number, since it uses less digits than its factorization.

12031444404213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2006129.

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 12031444404213 its reverse (31240444413021), we get a palindrome (43271888817234).

The spelling of 12031444404213 in words is "twelve trillion, thirty-one billion, four hundred forty-four million, four hundred four thousand, two hundred thirteen".

Divisors: 1 3 13 39 151 453 1019 1963 3057 5889 13247 39741 153869 461607 2000297 2004943 6000891 6014829 26064259 78192777 302746393 908239179 2043036917 3935703109 6129110751 11807109327 26559479921 79678439763 308498574467 925495723401 4010481468071 12031444404213