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2202032023153 is a prime number
BaseRepresentation
bin100000000010110011010…
…101100010011001110001
321210111211101202000012021
4200002303111202121301
5242034230144220103
64403333300231441
7315043256236564
oct40026325423161
97714741660167
102202032023153
11779970741066
122b692809b581
1312c85c8606c1
14788167a44db
153c42ea3cbbd
hex200b3562671

2202032023153 has 2 divisors, whose sum is σ = 2202032023154. Its totient is φ = 2202032023152.

The previous prime is 2202032023067. The next prime is 2202032023157. The reversal of 2202032023153 is 3513202302022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1635554516544 + 566477506609 = 1278888^2 + 752647^2 .

It is a cyclic number.

It is not a de Polignac number, because 2202032023153 - 225 = 2201998468721 is a prime.

It is a super-2 number, since 2×22020320231532 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2202032023157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1101016011576 + 1101016011577.

It is an arithmetic number, because the mean of its divisors is an integer number (1101016011577).

Almost surely, 22202032023153 is an apocalyptic number.

It is an amenable number.

2202032023153 is a deficient number, since it is larger than the sum of its proper divisors (1).

2202032023153 is an equidigital number, since it uses as much as digits as its factorization.

2202032023153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 2202032023153 its reverse (3513202302022), we get a palindrome (5715234325175).

The spelling of 2202032023153 in words is "two trillion, two hundred two billion, thirty-two million, twenty-three thousand, one hundred fifty-three".