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12312100435141 = 137972411492871
BaseRepresentation
bin1011001100101010001001…
…0111110111010011000101
31121121000200110002221000001
42303022202113313103011
53103210140202411031
642104033441321301
72410343216645413
oct263124227672305
947530613087001
1012312100435141
113a175947a1121
12146a201636231
136b4045419890
14307ca1c042b3
151653eca8d861
hexb32a25f74c5

12312100435141 has 16 divisors (see below), whose sum is σ = 13281354753408. Its totient is φ = 11346025118400.

The previous prime is 12312100435127. The next prime is 12312100435211. The reversal of 12312100435141 is 14153400121321.

It is a cyclic number.

It is not a de Polignac number, because 12312100435141 - 223 = 12312092046533 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12312100435841) 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, 24733936 + ... + 25226806.

It is an arithmetic number, because the mean of its divisors is an integer number (830084672088).

Almost surely, 212312100435141 is an apocalyptic number.

It is an amenable number.

12312100435141 is a deficient number, since it is larger than the sum of its proper divisors (969254318267).

12312100435141 is a wasteful number, since it uses less digits than its factorization.

12312100435141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496092.

The product of its (nonzero) digits is 2880, while the sum is 28.

Adding to 12312100435141 its reverse (14153400121321), we get a palindrome (26465500556462).

The spelling of 12312100435141 in words is "twelve trillion, three hundred twelve billion, one hundred million, four hundred thirty-five thousand, one hundred forty-one".

Divisors: 1 13 797 2411 10361 31343 492871 1921567 6407323 24980371 392818187 1188311981 5106636431 15448055753 947084648857 12312100435141