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381679019101 is a prime number
BaseRepresentation
bin1011000110111011101…
…01111010010001011101
31100111011212102002221201
411203131311322101131
522223134312102401
6451201345555501
736401235063352
oct5433565722135
91314155362851
10381679019101
11137961946276
1261b7b645b91
1329cb8a75243
141468aca0629
159ddd289b01
hex58ddd7a45d

381679019101 has 2 divisors, whose sum is σ = 381679019102. Its totient is φ = 381679019100.

The previous prime is 381679019087. The next prime is 381679019147. The reversal of 381679019101 is 101910976183.

It is an a-pointer prime, because the next prime (381679019147) can be obtained adding 381679019101 to its sum of digits (46).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 261478822500 + 120200196601 = 511350^2 + 346699^2 .

It is a cyclic number.

It is not a de Polignac number, because 381679019101 - 227 = 381544801373 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (381679019171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 190839509550 + 190839509551.

It is an arithmetic number, because the mean of its divisors is an integer number (190839509551).

Almost surely, 2381679019101 is an apocalyptic number.

It is an amenable number.

381679019101 is a deficient number, since it is larger than the sum of its proper divisors (1).

381679019101 is an equidigital number, since it uses as much as digits as its factorization.

381679019101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81648, while the sum is 46.

The spelling of 381679019101 in words is "three hundred eighty-one billion, six hundred seventy-nine million, nineteen thousand, one hundred one".