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10501121249 is a prime number
BaseRepresentation
bin10011100011110101…
…00110010011100001
31000002211201020020122
421301322212103201
5133001241334444
64454003250025
7521141025563
oct116172462341
930084636218
1010501121249
1144a9677903
122050979915
13cb4775a18
1471892b333
15416d984ee
hex271ea64e1

10501121249 has 2 divisors, whose sum is σ = 10501121250. Its totient is φ = 10501121248.

The previous prime is 10501121243. The next prime is 10501121287. The reversal of 10501121249 is 94212110501.

10501121249 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10205040400 + 296080849 = 101020^2 + 17207^2 .

It is a cyclic number.

It is not a de Polignac number, because 10501121249 - 224 = 10484344033 is a prime.

It is a super-2 number, since 2×105011212492 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10501121243) 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, 5250560624 + 5250560625.

It is an arithmetic number, because the mean of its divisors is an integer number (5250560625).

Almost surely, 210501121249 is an apocalyptic number.

It is an amenable number.

10501121249 is a deficient number, since it is larger than the sum of its proper divisors (1).

10501121249 is an equidigital number, since it uses as much as digits as its factorization.

10501121249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 720, while the sum is 26.

The spelling of 10501121249 in words is "ten billion, five hundred one million, one hundred twenty-one thousand, two hundred forty-nine".