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102202011200189 is a prime number
BaseRepresentation
bin10111001111001111000010…
…100100101010101010111101
3111101212102020212212121202002
4113033033002210222222331
5101343434204331401224
61001210542240512045
730345565053414605
oct2717170244525275
9441772225777662
10102202011200189
112a6236a1a1567a
12b56752691b625
1345047ba595764
141b34864915c05
15bc37975979ae
hex5cf3c292aabd

102202011200189 has 2 divisors, whose sum is σ = 102202011200190. Its totient is φ = 102202011200188.

The previous prime is 102202011200167. The next prime is 102202011200203. The reversal of 102202011200189 is 981002110202201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83893838972164 + 18308172228025 = 9159358^2 + 4278805^2 .

It is an emirp because it is prime and its reverse (981002110202201) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102202011200189 is a prime.

It is a super-3 number, since 3×1022020112001893 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102202011200129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51101005600094 + 51101005600095.

It is an arithmetic number, because the mean of its divisors is an integer number (51101005600095).

Almost surely, 2102202011200189 is an apocalyptic number.

It is an amenable number.

102202011200189 is a deficient number, since it is larger than the sum of its proper divisors (1).

102202011200189 is an equidigital number, since it uses as much as digits as its factorization.

102202011200189 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 29.

The spelling of 102202011200189 in words is "one hundred two trillion, two hundred two billion, eleven million, two hundred thousand, one hundred eighty-nine".