Search a number
-
+
38100000413 is a prime number
BaseRepresentation
bin100011011110111011…
…111101111010011101
310122100020212120001102
4203132323331322131
51111012100003123
625300343122445
72516103442256
oct433673757235
9118306776042
1038100000413
1115181503252
127473743425
13379254bc57
141bb6103b2d
15ececc9028
hex8deefde9d

38100000413 has 2 divisors, whose sum is σ = 38100000414. Its totient is φ = 38100000412.

The previous prime is 38100000371. The next prime is 38100000467. The reversal of 38100000413 is 31400000183.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 37799914084 + 300086329 = 194422^2 + 17323^2 .

It is a cyclic number.

It is not a de Polignac number, because 38100000413 - 228 = 37831564957 is a prime.

It is a super-2 number, since 2×381000004132 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (38100009413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19050000206 + 19050000207.

It is an arithmetic number, because the mean of its divisors is an integer number (19050000207).

Almost surely, 238100000413 is an apocalyptic number.

It is an amenable number.

38100000413 is a deficient number, since it is larger than the sum of its proper divisors (1).

38100000413 is an equidigital number, since it uses as much as digits as its factorization.

38100000413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 38100000413 its reverse (31400000183), we get a palindrome (69500000596).

The spelling of 38100000413 in words is "thirty-eight billion, one hundred million, four hundred thirteen", and thus it is an aban number.