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201444151878097 is a prime number
BaseRepresentation
bin101101110011011001011111…
…000111010110000111010001
3222102020212120022011122120121
4231303121133013112013101
5202400430110340044342
61552234055452110241
760300600605613322
oct5563313707260721
9872225508148517
10201444151878097
1159205a92108097
121a715286a65381
1388531431756bb
1437a5d3dda8449
15184505845c067
hexb7365f1d61d1

201444151878097 has 2 divisors, whose sum is σ = 201444151878098. Its totient is φ = 201444151878096.

The previous prime is 201444151878077. The next prime is 201444151878113. The reversal of 201444151878097 is 790878151444102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 197881586227521 + 3562565650576 = 14067039^2 + 1887476^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-201444151878097 is a prime.

It is a super-2 number, since 2×2014441518780972 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (201444151878017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100722075939048 + 100722075939049.

It is an arithmetic number, because the mean of its divisors is an integer number (100722075939049).

Almost surely, 2201444151878097 is an apocalyptic number.

It is an amenable number.

201444151878097 is a deficient number, since it is larger than the sum of its proper divisors (1).

201444151878097 is an equidigital number, since it uses as much as digits as its factorization.

201444151878097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18063360, while the sum is 61.

The spelling of 201444151878097 in words is "two hundred one trillion, four hundred forty-four billion, one hundred fifty-one million, eight hundred seventy-eight thousand, ninety-seven".