Search a number
-
+
10121120069 is a prime number
BaseRepresentation
bin10010110110100010…
…00000100101000101
3222010100200011121212
421123101000211011
5131212001320234
64352150421205
7505545046454
oct113321004505
928110604555
1010121120069
114324121345
121b65661805
13c53b17158
146c0290b9b
153e38355ce
hex25b440945

10121120069 has 2 divisors, whose sum is σ = 10121120070. Its totient is φ = 10121120068.

The previous prime is 10121120063. The next prime is 10121120161. The reversal of 10121120069 is 96002112101.

It is a happy number.

10121120069 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., 9853143169 + 267976900 = 99263^2 + 16370^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10121120069 is a prime.

It is a super-3 number, since 3×101211200693 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10121120063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060560034 + 5060560035.

It is an arithmetic number, because the mean of its divisors is an integer number (5060560035).

Almost surely, 210121120069 is an apocalyptic number.

It is an amenable number.

10121120069 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121120069 is an equidigital number, since it uses as much as digits as its factorization.

10121120069 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 23.

The spelling of 10121120069 in words is "ten billion, one hundred twenty-one million, one hundred twenty thousand, sixty-nine".