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131412120029 is a prime number
BaseRepresentation
bin111101001100011000…
…1011101000111011101
3110120012100002101010122
41322120301131013131
54123113000320104
6140211521444325
712331341406241
oct1723061350735
9416170071118
10131412120029
1150805796883
12215757a06a5
13c513607b08
146508c54421
153641cee6be
hex1e98c5d1dd

131412120029 has 2 divisors, whose sum is σ = 131412120030. Its totient is φ = 131412120028.

The previous prime is 131412119987. The next prime is 131412120031. The reversal of 131412120029 is 920021214131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 119714616004 + 11697504025 = 345998^2 + 108155^2 .

It is an emirp because it is prime and its reverse (920021214131) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131412120029 is a prime.

Together with 131412120031, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131412120089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65706060014 + 65706060015.

It is an arithmetic number, because the mean of its divisors is an integer number (65706060015).

Almost surely, 2131412120029 is an apocalyptic number.

It is an amenable number.

131412120029 is a deficient number, since it is larger than the sum of its proper divisors (1).

131412120029 is an equidigital number, since it uses as much as digits as its factorization.

131412120029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 26.

The spelling of 131412120029 in words is "one hundred thirty-one billion, four hundred twelve million, one hundred twenty thousand, twenty-nine".