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114130000381 is a prime number
BaseRepresentation
bin110101001001010101…
…1011001100111111101
3101220120220201201211011
41222102223121213331
53332214240003011
6124233001555221
711150150665615
oct1522253314775
9356526651734
10114130000381
1144447456571
121a151aa5b11
13a9bb037307
1457498d7a45
152e7e99b621
hex1a92ad99fd

114130000381 has 2 divisors, whose sum is σ = 114130000382. Its totient is φ = 114130000380.

The previous prime is 114130000363. The next prime is 114130000417. The reversal of 114130000381 is 183000031411.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102009972100 + 12120028281 = 319390^2 + 110091^2 .

It is a cyclic number.

It is not a de Polignac number, because 114130000381 - 213 = 114129992189 is a prime.

It is a super-2 number, since 2×1141300003812 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (114130070381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57065000190 + 57065000191.

It is an arithmetic number, because the mean of its divisors is an integer number (57065000191).

Almost surely, 2114130000381 is an apocalyptic number.

It is an amenable number.

114130000381 is a deficient number, since it is larger than the sum of its proper divisors (1).

114130000381 is an equidigital number, since it uses as much as digits as its factorization.

114130000381 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 114130000381 its reverse (183000031411), we get a palindrome (297130031792).

The spelling of 114130000381 in words is "one hundred fourteen billion, one hundred thirty million, three hundred eighty-one", and thus it is an aban number.