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36036131441 is a prime number
BaseRepresentation
bin100001100011111010…
…111011101001110001
310110000102100011001212
4201203322323221301
51042300222201231
624315455205505
72414003030462
oct414372735161
9113012304055
1036036131441
1114312502a12
126b98516895
133523aa18cb
141a5bd80d69
15e0d9ec42b
hex863ebba71

36036131441 has 2 divisors, whose sum is σ = 36036131442. Its totient is φ = 36036131440.

The previous prime is 36036131423. The next prime is 36036131479. The reversal of 36036131441 is 14413163063.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18790926400 + 17245205041 = 137080^2 + 131321^2 .

It is a cyclic number.

It is not a de Polignac number, because 36036131441 - 26 = 36036131377 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 36036131398 and 36036131407.

It is not a weakly prime, because it can be changed into another prime (36036131401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18018065720 + 18018065721.

It is an arithmetic number, because the mean of its divisors is an integer number (18018065721).

Almost surely, 236036131441 is an apocalyptic number.

It is an amenable number.

36036131441 is a deficient number, since it is larger than the sum of its proper divisors (1).

36036131441 is an equidigital number, since it uses as much as digits as its factorization.

36036131441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15552, while the sum is 32.

The spelling of 36036131441 in words is "thirty-six billion, thirty-six million, one hundred thirty-one thousand, four hundred forty-one".