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38456100313 is a prime number
BaseRepresentation
bin100011110100001010…
…011000010111011001
310200021001221022021121
4203310022120113121
51112224230202223
625355543405241
72530656313351
oct436412302731
9120231838247
1038456100313
1115344514394
127552a53821
13381b25c757
141c0b51bb61
1510011ba15d
hex8f42985d9

38456100313 has 2 divisors, whose sum is σ = 38456100314. Its totient is φ = 38456100312.

The previous prime is 38456100289. The next prime is 38456100323. The reversal of 38456100313 is 31300165483.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21884172489 + 16571927824 = 147933^2 + 128732^2 .

It is a cyclic number.

It is not a de Polignac number, because 38456100313 - 217 = 38455969241 is a prime.

It is not a weakly prime, because it can be changed into another prime (38456100323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19228050156 + 19228050157.

It is an arithmetic number, because the mean of its divisors is an integer number (19228050157).

Almost surely, 238456100313 is an apocalyptic number.

It is an amenable number.

38456100313 is a deficient number, since it is larger than the sum of its proper divisors (1).

38456100313 is an equidigital number, since it uses as much as digits as its factorization.

38456100313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25920, while the sum is 34.

Adding to 38456100313 its reverse (31300165483), we get a palindrome (69756265796).

The spelling of 38456100313 in words is "thirty-eight billion, four hundred fifty-six million, one hundred thousand, three hundred thirteen".