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1121122331233 is a prime number
BaseRepresentation
bin10000010100001000000…
…110010010101001100001
310222011210221110100222221
4100110020012102221201
5121332024304044413
62215011514231041
7143666312403112
oct20241006225141
93864727410887
101121122331233
113a2513368093
12161345725481
138194bb52118
143c396862209
151e26a01468d
hex10508192a61

1121122331233 has 2 divisors, whose sum is σ = 1121122331234. Its totient is φ = 1121122331232.

The previous prime is 1121122331207. The next prime is 1121122331311. The reversal of 1121122331233 is 3321332211211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1069875785104 + 51246546129 = 1034348^2 + 226377^2 .

It is a cyclic number.

It is not a de Polignac number, because 1121122331233 - 221 = 1121120234081 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1121122331198 and 1121122331207.

It is not a weakly prime, because it can be changed into another prime (1121132331233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 560561165616 + 560561165617.

It is an arithmetic number, because the mean of its divisors is an integer number (560561165617).

Almost surely, 21121122331233 is an apocalyptic number.

It is an amenable number.

1121122331233 is a deficient number, since it is larger than the sum of its proper divisors (1).

1121122331233 is an equidigital number, since it uses as much as digits as its factorization.

1121122331233 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1296, while the sum is 25.

Adding to 1121122331233 its reverse (3321332211211), we get a palindrome (4442454542444).

The spelling of 1121122331233 in words is "one trillion, one hundred twenty-one billion, one hundred twenty-two million, three hundred thirty-one thousand, two hundred thirty-three".