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114148210201 is a prime number
BaseRepresentation
bin110101001001111000…
…0110111011000011001
3101220122011222212222221
41222103300313120121
53332233420211301
6124234452144041
711150461530514
oct1522360673031
9356564885887
10114148210201
1144456763903
121a158008021
13a9c1a4195c
14574c0b7d7b
152e81396da1
hex1a93c37619

114148210201 has 2 divisors, whose sum is σ = 114148210202. Its totient is φ = 114148210200.

The previous prime is 114148210139. The next prime is 114148210207. The reversal of 114148210201 is 102012841411.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90419888601 + 23728321600 = 300699^2 + 154040^2 .

It is a cyclic number.

It is not a de Polignac number, because 114148210201 - 213 = 114148202009 is a prime.

It is not a weakly prime, because it can be changed into another prime (114148210207) 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, 57074105100 + 57074105101.

It is an arithmetic number, because the mean of its divisors is an integer number (57074105101).

Almost surely, 2114148210201 is an apocalyptic number.

It is an amenable number.

114148210201 is a deficient number, since it is larger than the sum of its proper divisors (1).

114148210201 is an equidigital number, since it uses as much as digits as its factorization.

114148210201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 512, while the sum is 25.

The spelling of 114148210201 in words is "one hundred fourteen billion, one hundred forty-eight million, two hundred ten thousand, two hundred one".