Search a number
-
+
3902210122093 is a prime number
BaseRepresentation
bin111000110010001101110…
…110010010000101101101
3111211001021201210012020021
4320302031312102011231
51002413211242401333
612144352305322141
7551632255522213
oct70621566220555
914731251705207
103902210122093
111274a10979a58
12530336336351
13223c9115295a
14d6c21a32cb3
156b78acdb82d
hex38c8dd9216d

3902210122093 has 2 divisors, whose sum is σ = 3902210122094. Its totient is φ = 3902210122092.

The previous prime is 3902210122091. The next prime is 3902210122099.

3902210122093 is nontrivially palindromic in base 10.

3902210122093 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3363310248489 + 538899873604 = 1833933^2 + 734098^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 3902210122093 - 21 = 3902210122091 is a prime.

Together with 3902210122091, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3902210122091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1951105061046 + 1951105061047.

It is an arithmetic number, because the mean of its divisors is an integer number (1951105061047).

Almost surely, 23902210122093 is an apocalyptic number.

It is an amenable number.

3902210122093 is a deficient number, since it is larger than the sum of its proper divisors (1).

3902210122093 is an equidigital number, since it uses as much as digits as its factorization.

3902210122093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 34.

The spelling of 3902210122093 in words is "three trillion, nine hundred two billion, two hundred ten million, one hundred twenty-two thousand, ninety-three".