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148177187201 is a prime number
BaseRepresentation
bin1000101000000000001…
…1000111000110000001
3112011110201112000210102
42022000003013012001
54411431324442301
6152023251212145
713463653211141
oct2120003070601
9464421460712
10148177187201
115792918299a
12248742a7055
1310c85a328c4
14725965a921
153cc3a6bb6b
hex22800c7181

148177187201 has 2 divisors, whose sum is σ = 148177187202. Its totient is φ = 148177187200.

The previous prime is 148177187173. The next prime is 148177187239. The reversal of 148177187201 is 102781771841.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 147010896400 + 1166290801 = 383420^2 + 34151^2 .

It is a cyclic number.

It is not a de Polignac number, because 148177187201 - 210 = 148177186177 is a prime.

It is not a weakly prime, because it can be changed into another prime (148177687201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 74088593600 + 74088593601.

It is an arithmetic number, because the mean of its divisors is an integer number (74088593601).

Almost surely, 2148177187201 is an apocalyptic number.

It is an amenable number.

148177187201 is a deficient number, since it is larger than the sum of its proper divisors (1).

148177187201 is an equidigital number, since it uses as much as digits as its factorization.

148177187201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 175616, while the sum is 47.

The spelling of 148177187201 in words is "one hundred forty-eight billion, one hundred seventy-seven million, one hundred eighty-seven thousand, two hundred one".