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22302132112133 is a prime number
BaseRepresentation
bin1010001001000100111101…
…01010011000101100000101
32220222001200221011220100222
411010202132222120230011
510410344231310042013
6115233242534514125
74461163424062556
oct504423652305405
986861627156328
1022302132112133
117119310186565
122602376b05945
13c5a10b2c9003
1457160109832d
1528a1e27ce508
hex14489ea98b05

22302132112133 has 2 divisors, whose sum is σ = 22302132112134. Its totient is φ = 22302132112132.

The previous prime is 22302132112111. The next prime is 22302132112193. The reversal of 22302132112133 is 33121123120322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19544197657924 + 2757934454209 = 4420882^2 + 1660703^2 .

It is a cyclic number.

It is not a de Polignac number, because 22302132112133 - 222 = 22302127917829 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22302132112193) 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, 11151066056066 + 11151066056067.

It is an arithmetic number, because the mean of its divisors is an integer number (11151066056067).

Almost surely, 222302132112133 is an apocalyptic number.

It is an amenable number.

22302132112133 is a deficient number, since it is larger than the sum of its proper divisors (1).

22302132112133 is an equidigital number, since it uses as much as digits as its factorization.

22302132112133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 22302132112133 its reverse (33121123120322), we get a palindrome (55423255232455).

The spelling of 22302132112133 in words is "twenty-two trillion, three hundred two billion, one hundred thirty-two million, one hundred twelve thousand, one hundred thirty-three".