Search a number
-
+
10121010149 is a prime number
BaseRepresentation
bin10010110110100001…
…00101101111100101
3222010100110120211202
421123100211233211
5131211434311044
64352144212245
7505544111135
oct113320455745
928110416752
1010121010149
1143240567a8
121b6560a085
13c53aa9103
146c0262ac5
153e3812c4e
hex25b425be5

10121010149 has 2 divisors, whose sum is σ = 10121010150. Its totient is φ = 10121010148.

The previous prime is 10121010113. The next prime is 10121010191. The reversal of 10121010149 is 94101012101.

10121010149 is digitally balanced in base 3, 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., 9963633124 + 157377025 = 99818^2 + 12545^2 .

It is a cyclic number.

It is not a de Polignac number, because 10121010149 - 28 = 10121009893 is a prime.

It is a super-2 number, since 2×101210101492 (a number of 21 digits) contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 10121010149.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10121010049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060505074 + 5060505075.

It is an arithmetic number, because the mean of its divisors is an integer number (5060505075).

Almost surely, 210121010149 is an apocalyptic number.

It is an amenable number.

10121010149 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121010149 is an equidigital number, since it uses as much as digits as its factorization.

10121010149 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 10121010149 in words is "ten billion, one hundred twenty-one million, ten thousand, one hundred forty-nine".