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222131323133 is a prime number
BaseRepresentation
bin1100111011100000001…
…1110000000011111101
3210020100201021101102222
43032320003300003331
512114411104320013
6250013513055125
722022423043656
oct3167003600375
9706321241388
10222131323133
11862293828a5
12370733b74a5
1317c40430c55
14aa7348852d
155ba1393508
hex33b80f00fd

222131323133 has 2 divisors, whose sum is σ = 222131323134. Its totient is φ = 222131323132.

The previous prime is 222131323129. The next prime is 222131323159. The reversal of 222131323133 is 331323131222.

222131323133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (222131323159) can be obtained adding 222131323133 to its sum of digits (26).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 221918250724 + 213072409 = 471082^2 + 14597^2 .

It is a cyclic number.

It is not a de Polignac number, because 222131323133 - 22 = 222131323129 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (222131325133) 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, 111065661566 + 111065661567.

It is an arithmetic number, because the mean of its divisors is an integer number (111065661567).

Almost surely, 2222131323133 is an apocalyptic number.

It is an amenable number.

222131323133 is a deficient number, since it is larger than the sum of its proper divisors (1).

222131323133 is an equidigital number, since it uses as much as digits as its factorization.

222131323133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3888, while the sum is 26.

Adding to 222131323133 its reverse (331323131222), we get a palindrome (553454454355).

The spelling of 222131323133 in words is "two hundred twenty-two billion, one hundred thirty-one million, three hundred twenty-three thousand, one hundred thirty-three".