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219048101 is a prime number
BaseRepresentation
bin11010000111001…
…10100010100101
3120021011210111122
431003212202211
5422034014401
633422543325
75266610126
oct1503464245
9507153448
10219048101
11102713098
1261437b45
13364c637c
142114004d
151436d21b
hexd0e68a5

219048101 has 2 divisors, whose sum is σ = 219048102. Its totient is φ = 219048100.

The previous prime is 219048091. The next prime is 219048121. The reversal of 219048101 is 101840912.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 119028100 + 100020001 = 10910^2 + 10001^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-219048101 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (219048121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 109524050 + 109524051.

It is an arithmetic number, because the mean of its divisors is an integer number (109524051).

Almost surely, 2219048101 is an apocalyptic number.

It is an amenable number.

219048101 is a deficient number, since it is larger than the sum of its proper divisors (1).

219048101 is an equidigital number, since it uses as much as digits as its factorization.

219048101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 26.

The square root of 219048101 is about 14800.2736799020. The cubic root of 219048101 is about 602.8091430737.

The spelling of 219048101 in words is "two hundred nineteen million, forty-eight thousand, one hundred one".