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29338010381 is a prime number
BaseRepresentation
bin11011010100101011…
…101000001100001101
32210201121122100100002
4123110223220030031
5440041012313011
621251103214045
72056010654651
oct332453501415
983647570302
1029338010381
11114955a6479
1258292a7325
1329c71a3a74
1415c4566a61
15b6a963c3b
hex6d4ae830d

29338010381 has 2 divisors, whose sum is σ = 29338010382. Its totient is φ = 29338010380.

The previous prime is 29338010281. The next prime is 29338010393. The reversal of 29338010381 is 18301083392.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22107229225 + 7230781156 = 148685^2 + 85034^2 .

It is a cyclic number.

It is not a de Polignac number, because 29338010381 - 234 = 12158141197 is a prime.

It is a super-2 number, since 2×293380103812 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (29338010081) 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, 14669005190 + 14669005191.

It is an arithmetic number, because the mean of its divisors is an integer number (14669005191).

Almost surely, 229338010381 is an apocalyptic number.

It is an amenable number.

29338010381 is a deficient number, since it is larger than the sum of its proper divisors (1).

29338010381 is an equidigital number, since it uses as much as digits as its factorization.

29338010381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31104, while the sum is 38.

The spelling of 29338010381 in words is "twenty-nine billion, three hundred thirty-eight million, ten thousand, three hundred eighty-one".