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105541203337 is a prime number
BaseRepresentation
bin110001001001010111…
…1101111010110001001
3101002102100101122012221
41202102233233112021
53212122022001322
6120252430134041
710424260266163
oct1422257572611
9332370348187
10105541203337
114083a292199
1218555651321
139c4c81b89b
145172d61933
152b2a9479c7
hex1892bef589

105541203337 has 2 divisors, whose sum is σ = 105541203338. Its totient is φ = 105541203336.

The previous prime is 105541203301. The next prime is 105541203367. The reversal of 105541203337 is 733302145501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53977693561 + 51563509776 = 232331^2 + 227076^2 .

It is a cyclic number.

It is not a de Polignac number, because 105541203337 - 227 = 105406985609 is a prime.

It is a super-2 number, since 2×1055412033372 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105541203367) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52770601668 + 52770601669.

It is an arithmetic number, because the mean of its divisors is an integer number (52770601669).

Almost surely, 2105541203337 is an apocalyptic number.

It is an amenable number.

105541203337 is a deficient number, since it is larger than the sum of its proper divisors (1).

105541203337 is an equidigital number, since it uses as much as digits as its factorization.

105541203337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 37800, while the sum is 34.

Adding to 105541203337 its reverse (733302145501), we get a palindrome (838843348838).

The spelling of 105541203337 in words is "one hundred five billion, five hundred forty-one million, two hundred three thousand, three hundred thirty-seven".