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13787312233 is a prime number
BaseRepresentation
bin11001101011100100…
…11011000001101001
31022120212021000210211
430311302123001221
5211214022442413
610200033541121
7665443135402
oct146562330151
938525230724
1013787312233
11593563a822
1228094147a1
1313b9531826
1494b1509a9
1555a61e83d
hex335c9b069

13787312233 has 2 divisors, whose sum is σ = 13787312234. Its totient is φ = 13787312232.

The previous prime is 13787312221. The next prime is 13787312237. The reversal of 13787312233 is 33221378731.

It is a happy number.

13787312233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13785577744 + 1734489 = 117412^2 + 1317^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13787312233 is a prime.

It is a super-2 number, since 2×137873122332 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13787312237) 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, 6893656116 + 6893656117.

It is an arithmetic number, because the mean of its divisors is an integer number (6893656117).

Almost surely, 213787312233 is an apocalyptic number.

It is an amenable number.

13787312233 is a deficient number, since it is larger than the sum of its proper divisors (1).

13787312233 is an equidigital number, since it uses as much as digits as its factorization.

13787312233 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 127008, while the sum is 40.

The spelling of 13787312233 in words is "thirteen billion, seven hundred eighty-seven million, three hundred twelve thousand, two hundred thirty-three".