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1133122211201 is a prime number
BaseRepresentation
bin10000011111010011010…
…110001100110110000001
311000022210020100102200202
4100133103112030312001
5122031113241224301
62224314341254545
7144602552606651
oct20372326146601
94008706312622
101133122211201
113a7610a47562
12163734404455
1382b11c74106
143cbb444c361
151e71d75e66b
hex107d358cd81

1133122211201 has 2 divisors, whose sum is σ = 1133122211202. Its totient is φ = 1133122211200.

The previous prime is 1133122211197. The next prime is 1133122211219. The reversal of 1133122211201 is 1021122213311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1105074000625 + 28048210576 = 1051225^2 + 167476^2 .

It is an emirp because it is prime and its reverse (1021122213311) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1133122211201 - 22 = 1133122211197 is a prime.

It is not a weakly prime, because it can be changed into another prime (1133122271201) 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, 566561105600 + 566561105601.

It is an arithmetic number, because the mean of its divisors is an integer number (566561105601).

Almost surely, 21133122211201 is an apocalyptic number.

It is an amenable number.

1133122211201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1133122211201 is an equidigital number, since it uses as much as digits as its factorization.

1133122211201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 1133122211201 its reverse (1021122213311), we get a palindrome (2154244424512).

The spelling of 1133122211201 in words is "one trillion, one hundred thirty-three billion, one hundred twenty-two million, two hundred eleven thousand, two hundred one".