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36132811441 is a prime number
BaseRepresentation
bin100001101001101011…
…101111001010110001
310110021011021000002121
4201221223233022301
51042444444431231
624333231314241
72416255554406
oct415153571261
9113234230077
1036132811441
1114362037041
12700497b981
13353ab221cc
141a6ab4a2ad
15e17248311
hex869aef2b1

36132811441 has 2 divisors, whose sum is σ = 36132811442. Its totient is φ = 36132811440.

The previous prime is 36132811433. The next prime is 36132811459. The reversal of 36132811441 is 14411823163.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31499150400 + 4633661041 = 177480^2 + 68071^2 .

It is an emirp because it is prime and its reverse (14411823163) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 36132811441 - 23 = 36132811433 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 36132811397 and 36132811406.

It is not a weakly prime, because it can be changed into another prime (36132811471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18066405720 + 18066405721.

It is an arithmetic number, because the mean of its divisors is an integer number (18066405721).

Almost surely, 236132811441 is an apocalyptic number.

It is an amenable number.

36132811441 is a deficient number, since it is larger than the sum of its proper divisors (1).

36132811441 is an equidigital number, since it uses as much as digits as its factorization.

36132811441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13824, while the sum is 34.

The spelling of 36132811441 in words is "thirty-six billion, one hundred thirty-two million, eight hundred eleven thousand, four hundred forty-one".