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100122222133 is a prime number
BaseRepresentation
bin101110100111110111…
…1111101111000110101
3100120102200121212111101
41131033233331320311
53120022242102013
6113555010410101
710143056563153
oct1351757757065
9316380555441
10100122222133
113950942542a
12174a2890931
139597c33c2b
144bbb3983d3
15290ed2d8dd
hex174fbfde35

100122222133 has 2 divisors, whose sum is σ = 100122222134. Its totient is φ = 100122222132.

The previous prime is 100122222121. The next prime is 100122222149. The reversal of 100122222133 is 331222221001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62857008369 + 37265213764 = 250713^2 + 193042^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100122222133 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100122222133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100122252133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50061111066 + 50061111067.

It is an arithmetic number, because the mean of its divisors is an integer number (50061111067).

Almost surely, 2100122222133 is an apocalyptic number.

It is an amenable number.

100122222133 is a deficient number, since it is larger than the sum of its proper divisors (1).

100122222133 is an equidigital number, since it uses as much as digits as its factorization.

100122222133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 100122222133 its reverse (331222221001), we get a palindrome (431344443134).

The spelling of 100122222133 in words is "one hundred billion, one hundred twenty-two million, two hundred twenty-two thousand, one hundred thirty-three".