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249990101 is a prime number
BaseRepresentation
bin11101110011010…
…00101111010101
3122102101210221122
432321220233111
51002444140401
640450053325
76123611054
oct1671505725
9572353848
10249990101
11119127299
126b87a245
133ca3b04a
14252b639b
1516e3121b
hexee68bd5

249990101 has 2 divisors, whose sum is σ = 249990102. Its totient is φ = 249990100.

The previous prime is 249989977. The next prime is 249990109. The reversal of 249990101 is 101099942.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 178249201 + 71740900 = 13351^2 + 8470^2 .

It is a cyclic number.

It is not a de Polignac number, because 249990101 - 218 = 249727957 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (249990109) 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, 124995050 + 124995051.

It is an arithmetic number, because the mean of its divisors is an integer number (124995051).

Almost surely, 2249990101 is an apocalyptic number.

It is an amenable number.

249990101 is a deficient number, since it is larger than the sum of its proper divisors (1).

249990101 is an equidigital number, since it uses as much as digits as its factorization.

249990101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 35.

The square root of 249990101 is about 15811.0752638775. The cubic root of 249990101 is about 629.9522101987.

The spelling of 249990101 in words is "two hundred forty-nine million, nine hundred ninety thousand, one hundred one".