Search a number
-
+
38332112630501 is a prime number
BaseRepresentation
bin10001011011100111000111…
…11101001111001011100101
312000201111212211120211200202
420231303203331033023211
520011013131313134001
6213305310205320245
711034255325240424
oct1055634375171345
9160644784524622
1038332112630501
111123961529a138
12437102ab66085
131850919b17c01
149673d99cd2bb
1546718d73696b
hex22dce3f4f2e5

38332112630501 has 2 divisors, whose sum is σ = 38332112630502. Its totient is φ = 38332112630500.

The previous prime is 38332112630363. The next prime is 38332112630509. The reversal of 38332112630501 is 10503621123383.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36223666332100 + 2108446298401 = 6018610^2 + 1452049^2 .

It is an emirp because it is prime and its reverse (10503621123383) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-38332112630501 is a prime.

It is a super-2 number, since 2×383321126305012 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (38332112630509) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19166056315250 + 19166056315251.

It is an arithmetic number, because the mean of its divisors is an integer number (19166056315251).

Almost surely, 238332112630501 is an apocalyptic number.

It is an amenable number.

38332112630501 is a deficient number, since it is larger than the sum of its proper divisors (1).

38332112630501 is an equidigital number, since it uses as much as digits as its factorization.

38332112630501 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 77760, while the sum is 38.

Adding to 38332112630501 its reverse (10503621123383), we get a palindrome (48835733753884).

The spelling of 38332112630501 in words is "thirty-eight trillion, three hundred thirty-two billion, one hundred twelve million, six hundred thirty thousand, five hundred one".