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419007105113 is a prime number
BaseRepresentation
bin1100001100011101100…
…01010000100001011001
31111001112022210100111212
412012032301100201121
523331111304330423
6520253400232505
742162246425432
oct6061661204131
91431468710455
10419007105113
11151777650833
126925876b735
13306873c5abc
14163cc66a489
15ad753d8578
hex618ec50859

419007105113 has 2 divisors, whose sum is σ = 419007105114. Its totient is φ = 419007105112.

The previous prime is 419007105091. The next prime is 419007105191. The reversal of 419007105113 is 311501700914.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 343111263049 + 75895842064 = 585757^2 + 275492^2 .

It is a cyclic number.

It is not a de Polignac number, because 419007105113 - 232 = 414712137817 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 419007105113.

It is not a weakly prime, because it can be changed into another prime (419007102113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 209503552556 + 209503552557.

It is an arithmetic number, because the mean of its divisors is an integer number (209503552557).

Almost surely, 2419007105113 is an apocalyptic number.

It is an amenable number.

419007105113 is a deficient number, since it is larger than the sum of its proper divisors (1).

419007105113 is an equidigital number, since it uses as much as digits as its factorization.

419007105113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3780, while the sum is 32.

The spelling of 419007105113 in words is "four hundred nineteen billion, seven million, one hundred five thousand, one hundred thirteen".