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202401144013 is a prime number
BaseRepresentation
bin1011110010000000001…
…1000101110011001101
3201100102200110102212011
42330200003011303031
511304004143102023
6232552022541221
720423455223605
oct2744003056315
9640380412764
10202401144013
1178924195242
1233287897811
1316117918753
149b20d5bc05
1553e917450d
hex2f200c5ccd

202401144013 has 2 divisors, whose sum is σ = 202401144014. Its totient is φ = 202401144012.

The previous prime is 202401143969. The next prime is 202401144019. The reversal of 202401144013 is 310441104202.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 124639359849 + 77761784164 = 353043^2 + 278858^2 .

It is a cyclic number.

It is not a de Polignac number, because 202401144013 - 217 = 202401012941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (202401144019) 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, 101200572006 + 101200572007.

It is an arithmetic number, because the mean of its divisors is an integer number (101200572007).

Almost surely, 2202401144013 is an apocalyptic number.

It is an amenable number.

202401144013 is a deficient number, since it is larger than the sum of its proper divisors (1).

202401144013 is an equidigital number, since it uses as much as digits as its factorization.

202401144013 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 202401144013 its reverse (310441104202), we get a palindrome (512842248215).

The spelling of 202401144013 in words is "two hundred two billion, four hundred one million, one hundred forty-four thousand, thirteen".