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219948101 is a prime number
BaseRepresentation
bin11010001110000…
…10010001000101
3120022212112001222
431013002101011
5422301314401
633454130125
75310346052
oct1507022105
9508775058
10219948101
1110317829a
12617b0945
133674cc09
14212d6029
1514499c1b
hexd1c2445

219948101 has 2 divisors, whose sum is σ = 219948102. Its totient is φ = 219948100.

The previous prime is 219948097. The next prime is 219948121. The reversal of 219948101 is 101849912.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 218271076 + 1677025 = 14774^2 + 1295^2 .

It is a cyclic number.

It is not a de Polignac number, because 219948101 - 22 = 219948097 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (219948121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 109974050 + 109974051.

It is an arithmetic number, because the mean of its divisors is an integer number (109974051).

Almost surely, 2219948101 is an apocalyptic number.

It is an amenable number.

219948101 is a deficient number, since it is larger than the sum of its proper divisors (1).

219948101 is an equidigital number, since it uses as much as digits as its factorization.

219948101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 35.

The square root of 219948101 is about 14830.6473560664. The cubic root of 219948101 is about 603.6335995767.

The spelling of 219948101 in words is "two hundred nineteen million, nine hundred forty-eight thousand, one hundred one".