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101222131141 is a prime number
BaseRepresentation
bin101111001000101001…
…1110010010111000101
3100200021100022001000001
41132101103302113011
53124300331144031
6114300101321301
710212243630025
oct1362123622705
9320240261001
10101222131141
1139a2328833a
121774b106231
139711a82371
144c834b1a85
152976697861
hex17914f25c5

101222131141 has 2 divisors, whose sum is σ = 101222131142. Its totient is φ = 101222131140.

The previous prime is 101222131133. The next prime is 101222131151. The reversal of 101222131141 is 141131222101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100726890625 + 495240516 = 317375^2 + 22254^2 .

It is a cyclic number.

It is not a de Polignac number, because 101222131141 - 23 = 101222131133 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101222131151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50611065570 + 50611065571.

It is an arithmetic number, because the mean of its divisors is an integer number (50611065571).

Almost surely, 2101222131141 is an apocalyptic number.

It is an amenable number.

101222131141 is a deficient number, since it is larger than the sum of its proper divisors (1).

101222131141 is an equidigital number, since it uses as much as digits as its factorization.

101222131141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 101222131141 its reverse (141131222101), we get a palindrome (242353353242).

The spelling of 101222131141 in words is "one hundred one billion, two hundred twenty-two million, one hundred thirty-one thousand, one hundred forty-one".