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1338353131 is a prime number
BaseRepresentation
bin100111111000101…
…1010010111101011
310110021100101100111
41033301122113223
510220104300011
6340445315151
745110546113
oct11761322753
93407311314
101338353131
11627513575
12314265ab7
1318437603b
14c9a66043
157c769121
hex4fc5a5eb

1338353131 has 2 divisors, whose sum is σ = 1338353132. Its totient is φ = 1338353130.

The previous prime is 1338353117. The next prime is 1338353189. The reversal of 1338353131 is 1313538331.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1338353131 - 25 = 1338353099 is a prime.

It is a super-2 number, since 2×13383531312 = 3582378206515006322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1338353093 and 1338353102.

It is not a weakly prime, because it can be changed into another prime (1338653131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 669176565 + 669176566.

It is an arithmetic number, because the mean of its divisors is an integer number (669176566).

Almost surely, 21338353131 is an apocalyptic number.

1338353131 is a deficient number, since it is larger than the sum of its proper divisors (1).

1338353131 is an equidigital number, since it uses as much as digits as its factorization.

1338353131 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9720, while the sum is 31.

The square root of 1338353131 is about 36583.5090033747. The cubic root of 1338353131 is about 1102.0219370734.

The spelling of 1338353131 in words is "one billion, three hundred thirty-eight million, three hundred fifty-three thousand, one hundred thirty-one".