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1038200323337 is a prime number
BaseRepresentation
bin11110001101110011000…
…11111011110100001001
310200020202222001220201022
433012321203323310021
5114002213240321322
62112535340002225
7135002400100052
oct17067143736411
93606688056638
101038200323337
11370331020251
12149263230375
1376b95542268
143836b9c3729
151c01525a942
hexf1b98fbd09

1038200323337 has 2 divisors, whose sum is σ = 1038200323338. Its totient is φ = 1038200323336.

The previous prime is 1038200323327. The next prime is 1038200323357. The reversal of 1038200323337 is 7333230028301.

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., 1026677589001 + 11522734336 = 1013251^2 + 107344^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1038200323337 is a prime.

It is a super-2 number, since 2×10382003233372 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1038200323297 and 1038200323306.

It is not a weakly prime, because it can be changed into another prime (1038200323327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 519100161668 + 519100161669.

It is an arithmetic number, because the mean of its divisors is an integer number (519100161669).

Almost surely, 21038200323337 is an apocalyptic number.

It is an amenable number.

1038200323337 is a deficient number, since it is larger than the sum of its proper divisors (1).

1038200323337 is an equidigital number, since it uses as much as digits as its factorization.

1038200323337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54432, while the sum is 35.

The spelling of 1038200323337 in words is "one trillion, thirty-eight billion, two hundred million, three hundred twenty-three thousand, three hundred thirty-seven".