Search a number
-
+
10121133349 is a prime number
BaseRepresentation
bin10010110110100010…
…00011110100100101
3222010100200211211201
421123101003310211
5131212002231344
64352151002501
7505545133255
oct113321036445
928110624751
1010121133349
114324130318
121b65669431
13c53b20202
146c0295965
153e38394d4
hex25b443d25

10121133349 has 2 divisors, whose sum is σ = 10121133350. Its totient is φ = 10121133348.

The previous prime is 10121133329. The next prime is 10121133377. The reversal of 10121133349 is 94333112101.

10121133349 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (10121133377) can be obtained adding 10121133349 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8256448225 + 1864685124 = 90865^2 + 43182^2 .

It is an emirp because it is prime and its reverse (94333112101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10121133349 - 27 = 10121133221 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10121133329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060566674 + 5060566675.

It is an arithmetic number, because the mean of its divisors is an integer number (5060566675).

Almost surely, 210121133349 is an apocalyptic number.

It is an amenable number.

10121133349 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121133349 is an equidigital number, since it uses as much as digits as its factorization.

10121133349 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 28.

The spelling of 10121133349 in words is "ten billion, one hundred twenty-one million, one hundred thirty-three thousand, three hundred forty-nine".