Search a number
-
+
230020100003101 is a prime number
BaseRepresentation
bin110100010011001110111010…
…010110100001010100011101
31010011102201002021000202202211
4310103032322112201110131
5220122122131100044401
62133113435233320421
766310255336145122
oct6423167226412435
91104381067022684
10230020100003101
1167322a81927211
122196b52a106111
139b46a57a1aa95
1440b3064688749
151b8d53d789951
hexd133ba5a151d

230020100003101 has 2 divisors, whose sum is σ = 230020100003102. Its totient is φ = 230020100003100.

The previous prime is 230020100003081. The next prime is 230020100003123. The reversal of 230020100003101 is 101300001020032.

230020100003101 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., 159462216787225 + 70557883215876 = 12627835^2 + 8399874^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-230020100003101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (230020100093101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 115010050001550 + 115010050001551.

It is an arithmetic number, because the mean of its divisors is an integer number (115010050001551).

Almost surely, 2230020100003101 is an apocalyptic number.

It is an amenable number.

230020100003101 is a deficient number, since it is larger than the sum of its proper divisors (1).

230020100003101 is an equidigital number, since it uses as much as digits as its factorization.

230020100003101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 230020100003101 its reverse (101300001020032), we get a palindrome (331320101023133).

The spelling of 230020100003101 in words is "two hundred thirty trillion, twenty billion, one hundred million, three thousand, one hundred one".