Search a number
-
+
10120013401 is a prime number
BaseRepresentation
bin10010110110011001…
…10010011001011001
3222010021120221120011
421123030302121121
5131211210412101
64352111001521
7505532460151
oct113314623131
928107527504
1010120013401
114323535943
121b652092a1
13c5381a514
146c0083761
153e36b7751
hex25b332659

10120013401 has 2 divisors, whose sum is σ = 10120013402. Its totient is φ = 10120013400.

The previous prime is 10120013389. The next prime is 10120013413. The reversal of 10120013401 is 10431002101.

10120013401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (10120013389) and next prime (10120013413).

It can be written as a sum of positive squares in only one way, i.e., 6769340176 + 3350673225 = 82276^2 + 57885^2 .

It is a cyclic number.

It is not a de Polignac number, because 10120013401 - 211 = 10120011353 is a prime.

It is not a weakly prime, because it can be changed into another prime (10120019401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060006700 + 5060006701.

It is an arithmetic number, because the mean of its divisors is an integer number (5060006701).

Almost surely, 210120013401 is an apocalyptic number.

It is an amenable number.

10120013401 is a deficient number, since it is larger than the sum of its proper divisors (1).

10120013401 is an equidigital number, since it uses as much as digits as its factorization.

10120013401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10120013401 its reverse (10431002101), we get a palindrome (20551015502).

The spelling of 10120013401 in words is "ten billion, one hundred twenty million, thirteen thousand, four hundred one".