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1038320238401 is a prime number
BaseRepresentation
bin11110001110000001011…
…01010111111101000001
310200021002022201020020222
433013000231113331001
5114002434440112101
62112555302112425
7135005354255465
oct17070055277501
93607068636228
101038320238401
11370392784206
1214929741b715
1376bb4339614
143837d8ba4a5
151c020a4601b
hexf1c0b57f41

1038320238401 has 2 divisors, whose sum is σ = 1038320238402. Its totient is φ = 1038320238400.

The previous prime is 1038320238323. The next prime is 1038320238413. The reversal of 1038320238401 is 1048320238301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1016313999376 + 22006239025 = 1008124^2 + 148345^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1038320238401 is a prime.

It is not a weakly prime, because it can be changed into another prime (1038320238421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 519160119200 + 519160119201.

It is an arithmetic number, because the mean of its divisors is an integer number (519160119201).

Almost surely, 21038320238401 is an apocalyptic number.

It is an amenable number.

1038320238401 is a deficient number, since it is larger than the sum of its proper divisors (1).

1038320238401 is an equidigital number, since it uses as much as digits as its factorization.

1038320238401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27648, while the sum is 35.

It can be divided in two parts, 1038320 and 238401, that added together give a palindrome (1276721).

The spelling of 1038320238401 in words is "one trillion, thirty-eight billion, three hundred twenty million, two hundred thirty-eight thousand, four hundred one".