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131000343144409 is a prime number
BaseRepresentation
bin11101110010010011100100…
…111010110010011111011001
3122011211111210011010020220001
4131302103210322302133121
5114132302200321110114
61142340420555133001
736410314424142514
oct3562234472623731
9564744704106801
10131000343144409
1138816a2a595642
12128388b1a44161
13581338297664b
14244c644009d7b
151022945ee2374
hex7724e4eb27d9

131000343144409 has 2 divisors, whose sum is σ = 131000343144410. Its totient is φ = 131000343144408.

The previous prime is 131000343144367. The next prime is 131000343144467. The reversal of 131000343144409 is 904441343000131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 130918334222025 + 82008922384 = 11441955^2 + 286372^2 .

It is a cyclic number.

It is not a de Polignac number, because 131000343144409 - 233 = 130991753209817 is a prime.

It is a super-3 number, since 3×1310003431444093 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (131000343144469) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65500171572204 + 65500171572205.

It is an arithmetic number, because the mean of its divisors is an integer number (65500171572205).

Almost surely, 2131000343144409 is an apocalyptic number.

It is an amenable number.

131000343144409 is a deficient number, since it is larger than the sum of its proper divisors (1).

131000343144409 is an equidigital number, since it uses as much as digits as its factorization.

131000343144409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 62208, while the sum is 37.

The spelling of 131000343144409 in words is "one hundred thirty-one trillion, three hundred forty-three million, one hundred forty-four thousand, four hundred nine".