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557010101 is a prime number
BaseRepresentation
bin100001001100110…
…100110010110101
31102211010001012202
4201030310302311
52120043310401
6131134354245
716542336104
oct4114646265
91384101182
10557010101
11266465a2a
1213665b985
138b52619b
1453d9603b
1533d7a06b
hex21334cb5

557010101 has 2 divisors, whose sum is σ = 557010102. Its totient is φ = 557010100.

The previous prime is 557010073. The next prime is 557010121. The reversal of 557010101 is 101010755.

It is an a-pointer prime, because the next prime (557010121) can be obtained adding 557010101 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 305026225 + 251983876 = 17465^2 + 15874^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-557010101 is a prime.

557010101 is a modest number, since divided by 10101 gives 557 as remainder.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (557010121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 278505050 + 278505051.

It is an arithmetic number, because the mean of its divisors is an integer number (278505051).

Almost surely, 2557010101 is an apocalyptic number.

It is an amenable number.

557010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

557010101 is an equidigital number, since it uses as much as digits as its factorization.

557010101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 175, while the sum is 20.

The square root of 557010101 is about 23601.0614379947. The cubic root of 557010101 is about 822.7875097277.

Adding to 557010101 its reverse (101010755), we get a palindrome (658020856).

The spelling of 557010101 in words is "five hundred fifty-seven million, ten thousand, one hundred one".