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132778120801 is a prime number
BaseRepresentation
bin111101110101000110…
…0010101011001100001
3110200201112110101220211
41323222030111121201
54133412144331201
6140555235534121
712410236255624
oct1735214253141
9420645411824
10132778120801
1151346873437
122189715a341
13c6a06111b1
1465d8435dbb
1536c1bca651
hex1eea315661

132778120801 has 2 divisors, whose sum is σ = 132778120802. Its totient is φ = 132778120800.

The previous prime is 132778120777. The next prime is 132778120877. The reversal of 132778120801 is 108021877231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 125971045776 + 6807075025 = 354924^2 + 82505^2 .

It is a cyclic number.

It is not a de Polignac number, because 132778120801 - 225 = 132744566369 is a prime.

It is not a weakly prime, because it can be changed into another prime (132778120901) 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, 66389060400 + 66389060401.

It is an arithmetic number, because the mean of its divisors is an integer number (66389060401).

Almost surely, 2132778120801 is an apocalyptic number.

It is an amenable number.

132778120801 is a deficient number, since it is larger than the sum of its proper divisors (1).

132778120801 is an equidigital number, since it uses as much as digits as its factorization.

132778120801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 37632, while the sum is 40.

The spelling of 132778120801 in words is "one hundred thirty-two billion, seven hundred seventy-eight million, one hundred twenty thousand, eight hundred one".