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12015400400431 = 293717011658277
BaseRepresentation
bin1010111011011000110110…
…1011000011011000101111
31120112122211220122111121121
42232312031223003120233
53033330020000303211
641315444310041411
72350040552162101
oct256661553033057
946478756574547
1012015400400431
11391278031566a
1214207b9349267
1369208018a56c
142d779706d571
1515c834e77271
hexaed8dac362f

12015400400431 has 16 divisors (see below), whose sum is σ = 12766432883040. Its totient is φ = 11286852958080.

The previous prime is 12015400400407. The next prime is 12015400400461. The reversal of 12015400400431 is 13400400451021.

It is a cyclic number.

It is not a de Polignac number, because 12015400400431 - 211 = 12015400398383 is a prime.

It is a super-2 number, since 2×120154004004312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12015400400396 and 12015400400405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12015400400401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17923665 + ... + 18581941.

It is an arithmetic number, because the mean of its divisors is an integer number (797902055190).

Almost surely, 212015400400431 is an apocalyptic number.

12015400400431 is a deficient number, since it is larger than the sum of its proper divisors (751032482609).

12015400400431 is a wasteful number, since it uses less digits than its factorization.

12015400400431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675354.

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 12015400400431 its reverse (13400400451021), we get a palindrome (25415800851452).

The spelling of 12015400400431 in words is "twelve trillion, fifteen billion, four hundred million, four hundred thousand, four hundred thirty-one".

Divisors: 1 29 37 1073 17011 493319 629407 658277 18252803 19090033 24356249 706331221 11197950047 324740551363 414324151739 12015400400431