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2185818402133 is a prime number
BaseRepresentation
bin11111110011101100111…
…011011110110101010101
321201221222102221201110001
4133303230323132311111
5241303024002332013
64352052350131301
7313630421601502
oct37635473366525
97657872851401
102185818402133
1177300055a673
122b37621b0b31
1312b177761402
1477b193064a9
153bcd13ebddd
hex1fceceded55

2185818402133 has 2 divisors, whose sum is σ = 2185818402134. Its totient is φ = 2185818402132.

The previous prime is 2185818402049. The next prime is 2185818402203. The reversal of 2185818402133 is 3312048185812.

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., 1702484772849 + 483333629284 = 1304793^2 + 695222^2 .

It is a cyclic number.

It is not a de Polignac number, because 2185818402133 - 217 = 2185818271061 is a prime.

It is a super-2 number, since 2×21858184021332 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2185818402433) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1092909201066 + 1092909201067.

It is an arithmetic number, because the mean of its divisors is an integer number (1092909201067).

Almost surely, 22185818402133 is an apocalyptic number.

It is an amenable number.

2185818402133 is a deficient number, since it is larger than the sum of its proper divisors (1).

2185818402133 is an equidigital number, since it uses as much as digits as its factorization.

2185818402133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 368640, while the sum is 46.

The spelling of 2185818402133 in words is "two trillion, one hundred eighty-five billion, eight hundred eighteen million, four hundred two thousand, one hundred thirty-three".