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101348438461 is a prime number
BaseRepresentation
bin101111001100011010…
…1100111000110111101
3100200121010222010001221
41132120311213012331
53130030200012321
6114320412433341
710215336340654
oct1363065470675
9320533863057
10101348438461
1139a88607956
1217785478851
139731ca711a
144c9619019b
1529827e6e41
hex1798d671bd

101348438461 has 2 divisors, whose sum is σ = 101348438462. Its totient is φ = 101348438460.

The previous prime is 101348438393. The next prime is 101348438473. The reversal of 101348438461 is 164834843101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100501046361 + 847392100 = 317019^2 + 29110^2 .

It is a cyclic number.

It is not a de Polignac number, because 101348438461 - 213 = 101348430269 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101348438491) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50674219230 + 50674219231.

It is an arithmetic number, because the mean of its divisors is an integer number (50674219231).

Almost surely, 2101348438461 is an apocalyptic number.

It is an amenable number.

101348438461 is a deficient number, since it is larger than the sum of its proper divisors (1).

101348438461 is an equidigital number, since it uses as much as digits as its factorization.

101348438461 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 221184, while the sum is 43.

The spelling of 101348438461 in words is "one hundred one billion, three hundred forty-eight million, four hundred thirty-eight thousand, four hundred sixty-one".