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200401041461 is a prime number
BaseRepresentation
bin1011101010100011010…
…1010011100000110101
3201011021021220200221212
42322220311103200311
511240410131311321
6232021333451205
720323060514045
oct2725065234065
9634237820855
10200401041461
1177a98188625
1232a09aa0b05
1315b8943680a
1499b1477725
15532d79155b
hex2ea8d53835

200401041461 has 2 divisors, whose sum is σ = 200401041462. Its totient is φ = 200401041460.

The previous prime is 200401041443. The next prime is 200401041487. The reversal of 200401041461 is 164140104002.

It is a happy number.

200401041461 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., 175816683025 + 24584358436 = 419305^2 + 156794^2 .

It is a cyclic number.

It is not a de Polignac number, because 200401041461 - 218 = 200400779317 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (200401041361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100200520730 + 100200520731.

It is an arithmetic number, because the mean of its divisors is an integer number (100200520731).

Almost surely, 2200401041461 is an apocalyptic number.

It is an amenable number.

200401041461 is a deficient number, since it is larger than the sum of its proper divisors (1).

200401041461 is an equidigital number, since it uses as much as digits as its factorization.

200401041461 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 23.

Adding to 200401041461 its reverse (164140104002), we get a palindrome (364541145463).

The spelling of 200401041461 in words is "two hundred billion, four hundred one million, forty-one thousand, four hundred sixty-one".