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103141222133 is a prime number
BaseRepresentation
bin110000000001110110…
…0100010011011110101
3100212020002101221221012
41200003230202123311
53142213123102013
6115214334202005
710310635631345
oct1400354423365
9325202357835
10103141222133
113a818592854
1217ba5953305
13995953b671
144dc6308d25
152a39dc71a8
hex1803b226f5

103141222133 has 2 divisors, whose sum is σ = 103141222134. Its totient is φ = 103141222132.

The previous prime is 103141222117. The next prime is 103141222157. The reversal of 103141222133 is 331222141301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66470121124 + 36671101009 = 257818^2 + 191497^2 .

It is a cyclic number.

It is not a de Polignac number, because 103141222133 - 24 = 103141222117 is a prime.

It is a super-2 number, since 2×1031412221332 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 103141222099 and 103141222108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103141212133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51570611066 + 51570611067.

It is an arithmetic number, because the mean of its divisors is an integer number (51570611067).

Almost surely, 2103141222133 is an apocalyptic number.

It is an amenable number.

103141222133 is a deficient number, since it is larger than the sum of its proper divisors (1).

103141222133 is an equidigital number, since it uses as much as digits as its factorization.

103141222133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 103141222133 its reverse (331222141301), we get a palindrome (434363363434).

The spelling of 103141222133 in words is "one hundred three billion, one hundred forty-one million, two hundred twenty-two thousand, one hundred thirty-three".