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1122103033133 is a prime number
BaseRepresentation
bin10000010101000010100…
…011010111110100101101
310222021100021211012002112
4100111002203113310231
5121341031334030013
62215253110133405
7144032521260245
oct20250243276455
93867307735075
101122103033133
113a29769aaa25
1216157a051265
1381a770934c4
143c44abc8b25
151e2c6182ba8
hex105428d7d2d

1122103033133 has 2 divisors, whose sum is σ = 1122103033134. Its totient is φ = 1122103033132.

The previous prime is 1122103033099. The next prime is 1122103033217. The reversal of 1122103033133 is 3313303012211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1112427950089 + 9675083044 = 1054717^2 + 98362^2 .

It is an emirp because it is prime and its reverse (3313303012211) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1122103033133 - 220 = 1122101984557 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1122103033099 and 1122103033108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1122103039133) 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, 561051516566 + 561051516567.

It is an arithmetic number, because the mean of its divisors is an integer number (561051516567).

Almost surely, 21122103033133 is an apocalyptic number.

It is an amenable number.

1122103033133 is a deficient number, since it is larger than the sum of its proper divisors (1).

1122103033133 is an equidigital number, since it uses as much as digits as its factorization.

1122103033133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 1122103033133 its reverse (3313303012211), we get a palindrome (4435406045344).

The spelling of 1122103033133 in words is "one trillion, one hundred twenty-two billion, one hundred three million, thirty-three thousand, one hundred thirty-three".