Search a number
-
+
100557049 is a prime number
BaseRepresentation
bin1011111111001…
…10000011111001
321000012211100011
411333212003321
5201220311144
613551141521
72330502145
oct577460371
9230184304
10100557049
1151841aaa
12298148a1
1317aaa218
14d4d8225
158c64a34
hex5fe60f9

100557049 has 2 divisors, whose sum is σ = 100557050. Its totient is φ = 100557048.

The previous prime is 100557047. The next prime is 100557071. The reversal of 100557049 is 940755001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85229824 + 15327225 = 9232^2 + 3915^2 .

It is a cyclic number.

It is not a de Polignac number, because 100557049 - 21 = 100557047 is a prime.

It is a super-2 number, since 2×1005570492 = 20223440207176802, which contains 22 as substring.

Together with 100557047, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 100557049.

It is not a weakly prime, because it can be changed into another prime (100557043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50278524 + 50278525.

It is an arithmetic number, because the mean of its divisors is an integer number (50278525).

Almost surely, 2100557049 is an apocalyptic number.

It is an amenable number.

100557049 is a deficient number, since it is larger than the sum of its proper divisors (1).

100557049 is an equidigital number, since it uses as much as digits as its factorization.

100557049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6300, while the sum is 31.

The square root of 100557049 is about 10027.8137697107. The cubic root of 100557049 is about 465.0191520997.

The spelling of 100557049 in words is "one hundred million, five hundred fifty-seven thousand, forty-nine".