Search a number
-
+
10213129973 is a prime number
BaseRepresentation
bin10011000001011111…
…11111111011110101
3222100202210202111002
421200233333323311
5131404030124343
64405234453045
7511043113064
oct114057777365
928322722432
1010213129973
114371055792
121b90434185
13c69bc0b97
146cc5a21db
153eb95c8b8
hex260bffef5

10213129973 has 2 divisors, whose sum is σ = 10213129974. Its totient is φ = 10213129972.

The previous prime is 10213129963. The next prime is 10213130003. The reversal of 10213129973 is 37992131201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5224109284 + 4989020689 = 72278^2 + 70633^2 .

It is a cyclic number.

It is not a de Polignac number, because 10213129973 - 218 = 10212867829 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10213129963) 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, 5106564986 + 5106564987.

It is an arithmetic number, because the mean of its divisors is an integer number (5106564987).

Almost surely, 210213129973 is an apocalyptic number.

It is an amenable number.

10213129973 is a deficient number, since it is larger than the sum of its proper divisors (1).

10213129973 is an equidigital number, since it uses as much as digits as its factorization.

10213129973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20412, while the sum is 38.

The spelling of 10213129973 in words is "ten billion, two hundred thirteen million, one hundred twenty-nine thousand, nine hundred seventy-three".