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201338492197 is a prime number
BaseRepresentation
bin1011101110000010110…
…1011001010100100101
3201020200121220010121111
42323200231121110211
511244320123222242
6232254342345021
720355232642423
oct2734055312445
9636617803544
10201338492197
117842936a1a7
123302ba2b171
1315ca87135ab
149a5db82113
155385c19817
hex2ee0b59525

201338492197 has 2 divisors, whose sum is σ = 201338492198. Its totient is φ = 201338492196.

The previous prime is 201338492177. The next prime is 201338492213. The reversal of 201338492197 is 791294833102.

It is a happy number.

201338492197 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 129485545281 + 71852946916 = 359841^2 + 268054^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-201338492197 is a prime.

It is a super-2 number, since 2×2013384921972 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 201338492197.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (201338492177) 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, 100669246098 + 100669246099.

It is an arithmetic number, because the mean of its divisors is an integer number (100669246099).

Almost surely, 2201338492197 is an apocalyptic number.

It is an amenable number.

201338492197 is a deficient number, since it is larger than the sum of its proper divisors (1).

201338492197 is an equidigital number, since it uses as much as digits as its factorization.

201338492197 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 653184, while the sum is 49.

The spelling of 201338492197 in words is "two hundred one billion, three hundred thirty-eight million, four hundred ninety-two thousand, one hundred ninety-seven".