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101612121133 is a prime number
BaseRepresentation
bin101111010100010001…
…1011110110000101101
3100201021112010120200211
41132220203132300231
53131100200334013
6114402512222421
710225020531055
oct1365043366055
9321245116624
10101612121133
113a103436616
121783983aa11
1397747ca683
144cbd1cc565
15299aa3023d
hex17a88dec2d

101612121133 has 2 divisors, whose sum is σ = 101612121134. Its totient is φ = 101612121132.

The previous prime is 101612121113. The next prime is 101612121167. The reversal of 101612121133 is 331121216101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 54313700809 + 47298420324 = 233053^2 + 217482^2 .

It is a cyclic number.

It is not a de Polignac number, because 101612121133 - 225 = 101578566701 is a prime.

It is a super-2 number, since 2×1016121211332 (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 (101612121113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50806060566 + 50806060567.

It is an arithmetic number, because the mean of its divisors is an integer number (50806060567).

Almost surely, 2101612121133 is an apocalyptic number.

It is an amenable number.

101612121133 is a deficient number, since it is larger than the sum of its proper divisors (1).

101612121133 is an equidigital number, since it uses as much as digits as its factorization.

101612121133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 101612121133 its reverse (331121216101), we get a palindrome (432733337234).

The spelling of 101612121133 in words is "one hundred one billion, six hundred twelve million, one hundred twenty-one thousand, one hundred thirty-three".