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10142404213 is a prime number
BaseRepresentation
bin10010111001000100…
…01100111001110101
3222011211201111222111
421130202030321311
5131232423413323
64354230531021
7506224004404
oct113442147165
928154644874
1010142404213
114335139447
121b70806a71
13c58359c16
146c303163b
153e563bc0d
hex25c88ce75

10142404213 has 2 divisors, whose sum is σ = 10142404214. Its totient is φ = 10142404212.

The previous prime is 10142404211. The next prime is 10142404267. The reversal of 10142404213 is 31240424101.

It is a happy number.

10142404213 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., 9006579409 + 1135824804 = 94903^2 + 33702^2 .

It is a cyclic number.

It is not a de Polignac number, because 10142404213 - 21 = 10142404211 is a prime.

Together with 10142404211, 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 (10142404211) 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, 5071202106 + 5071202107.

It is an arithmetic number, because the mean of its divisors is an integer number (5071202107).

Almost surely, 210142404213 is an apocalyptic number.

It is an amenable number.

10142404213 is a deficient number, since it is larger than the sum of its proper divisors (1).

10142404213 is an equidigital number, since it uses as much as digits as its factorization.

10142404213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 10142404213 its reverse (31240424101), we get a palindrome (41382828314).

The spelling of 10142404213 in words is "ten billion, one hundred forty-two million, four hundred four thousand, two hundred thirteen".