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842606101 is a prime number
BaseRepresentation
bin110010001110010…
…010011000010101
32011201111211021101
4302032102120111
53211201343401
6215335550101
726611014361
oct6216223025
92151454241
10842606101
113a26a1487
121b622b331
1310574c9bc
147dc9a2a1
154de91101
hex32392615

842606101 has 2 divisors, whose sum is σ = 842606102. Its totient is φ = 842606100.

The previous prime is 842606029. The next prime is 842606189. The reversal of 842606101 is 101606248.

It is the 11851-st star number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 840942001 + 1664100 = 28999^2 + 1290^2 .

It is a cyclic number.

It is not a de Polignac number, because 842606101 - 219 = 842081813 is a prime.

It is equal to p43222159 and since 842606101 and 43222159 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 842606101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (842606701) 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, 421303050 + 421303051.

It is an arithmetic number, because the mean of its divisors is an integer number (421303051).

Almost surely, 2842606101 is an apocalyptic number.

It is an amenable number.

842606101 is a deficient number, since it is larger than the sum of its proper divisors (1).

842606101 is an equidigital number, since it uses as much as digits as its factorization.

842606101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 842606101 is about 29027.6781882396. The cubic root of 842606101 is about 944.5135654289.

The spelling of 842606101 in words is "eight hundred forty-two million, six hundred six thousand, one hundred one".