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242201032133 is a prime number
BaseRepresentation
bin1110000110010001001…
…1100111010111000101
3212011011101222020110112
43201210103213113011
512432011431012013
6303133212402405
723332652543054
oct3414423472705
9764141866415
10242201032133
1193798194265
123ab34776405
1319abb3a4ac8
14ba18b1839b
1564782cdba8
hex38644e75c5

242201032133 has 2 divisors, whose sum is σ = 242201032134. Its totient is φ = 242201032132.

The previous prime is 242201032091. The next prime is 242201032147. The reversal of 242201032133 is 331230102242.

242201032133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 235867578244 + 6333453889 = 485662^2 + 79583^2 .

It is a cyclic number.

It is not a de Polignac number, because 242201032133 - 212 = 242201028037 is a prime.

It is a super-2 number, since 2×2422010321332 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242201032099 and 242201032108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (242201032033) 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, 121100516066 + 121100516067.

It is an arithmetic number, because the mean of its divisors is an integer number (121100516067).

Almost surely, 2242201032133 is an apocalyptic number.

It is an amenable number.

242201032133 is a deficient number, since it is larger than the sum of its proper divisors (1).

242201032133 is an equidigital number, since it uses as much as digits as its factorization.

242201032133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 242201032133 its reverse (331230102242), we get a palindrome (573431134375).

The spelling of 242201032133 in words is "two hundred forty-two billion, two hundred one million, thirty-two thousand, one hundred thirty-three".