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101335057 is a prime number
BaseRepresentation
bin1100000101001…
…00000000010001
321001200100120021
412002210000101
5201420210212
614015543441
72340222325
oct602440021
9231610507
10101335057
115222358a
1229b2ab81
1317cc0395
14d65b985
158d6a307
hex60a4011

101335057 has 2 divisors, whose sum is σ = 101335058. Its totient is φ = 101335056.

The previous prime is 101335009. The next prime is 101335061. The reversal of 101335057 is 750533101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100781521 + 553536 = 10039^2 + 744^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101335057 is a prime.

It is not a weakly prime, because it can be changed into another prime (101335007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50667528 + 50667529.

It is an arithmetic number, because the mean of its divisors is an integer number (50667529).

Almost surely, 2101335057 is an apocalyptic number.

It is an amenable number.

101335057 is a deficient number, since it is larger than the sum of its proper divisors (1).

101335057 is an equidigital number, since it uses as much as digits as its factorization.

101335057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1575, while the sum is 25.

The square root of 101335057 is about 10066.5315277905. The cubic root of 101335057 is about 466.2153538694.

Adding to 101335057 its reverse (750533101), we get a palindrome (851868158).

The spelling of 101335057 in words is "one hundred one million, three hundred thirty-five thousand, fifty-seven".