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22130133121153 is a prime number
BaseRepresentation
bin1010000100000100100101…
…01110010011100010000001
32220100121202000201212010201
411002002102232103202001
510400040003034334103
6115022235351325201
74442564220554431
oct502022256234201
986317660655121
1022130133121153
117062378240932
122594b74980801
13c46b2a18bc35
14567165b4a2c1
152859c772051d
hex142092b93881

22130133121153 has 2 divisors, whose sum is σ = 22130133121154. Its totient is φ = 22130133121152.

The previous prime is 22130133121123. The next prime is 22130133121207. The reversal of 22130133121153 is 35112133103122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19131237401329 + 2998895719824 = 4373927^2 + 1731732^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22130133121153 is a prime.

It is a super-3 number, since 3×221301331211533 (a number of 41 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (22130133121123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11065066560576 + 11065066560577.

It is an arithmetic number, because the mean of its divisors is an integer number (11065066560577).

Almost surely, 222130133121153 is an apocalyptic number.

It is an amenable number.

22130133121153 is a deficient number, since it is larger than the sum of its proper divisors (1).

22130133121153 is an equidigital number, since it uses as much as digits as its factorization.

22130133121153 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3240, while the sum is 28.

Adding to 22130133121153 its reverse (35112133103122), we get a palindrome (57242266224275).

The spelling of 22130133121153 in words is "twenty-two trillion, one hundred thirty billion, one hundred thirty-three million, one hundred twenty-one thousand, one hundred fifty-three".