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1238630401 is a prime number
BaseRepresentation
bin100100111010100…
…0000000000000001
310012022200221111001
41021311000000001
510014042133101
6322524052001
742460120231
oct11165000001
93168627431
101238630401
115861a1398
122a6994001
131697cb7c8
14ba707cc1
1573b1b901
hex49d40001

1238630401 has 2 divisors, whose sum is σ = 1238630402. Its totient is φ = 1238630400.

The previous prime is 1238630381. The next prime is 1238630411. The reversal of 1238630401 is 1040368321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1237632400 + 998001 = 35180^2 + 999^2 .

It is a cyclic number.

It is not a de Polignac number, because 1238630401 - 211 = 1238628353 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1238630401.

It is not a weakly prime, because it can be changed into another prime (1238630411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 619315200 + 619315201.

It is an arithmetic number, because the mean of its divisors is an integer number (619315201).

It is a Proth number, since it is equal to 4725 ⋅ 218 + 1 and 4725 < 218.

Almost surely, 21238630401 is an apocalyptic number.

It is an amenable number.

1238630401 is a deficient number, since it is larger than the sum of its proper divisors (1).

1238630401 is an equidigital number, since it uses as much as digits as its factorization.

1238630401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 1238630401 is about 35194.1813514677. The cubic root of 1238630401 is about 1073.9413846872.

Adding to 1238630401 its reverse (1040368321), we get a palindrome (2278998722).

The spelling of 1238630401 in words is "one billion, two hundred thirty-eight million, six hundred thirty thousand, four hundred one".