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2220231053153 is a prime number
BaseRepresentation
bin100000010011110000000…
…101010100111101100001
321212020210201102112001102
4200103300011110331201
5242334013122200103
64415543212444145
7316256252366231
oct40236005247541
97766721375042
102220231053153
1178665a603723
122ba366a79655
131314a00988c9
14796617ddcc1
153cb4760ce88
hex204f0154f61

2220231053153 has 2 divisors, whose sum is σ = 2220231053154. Its totient is φ = 2220231053152.

The previous prime is 2220231053087. The next prime is 2220231053177. The reversal of 2220231053153 is 3513501320222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1904463480529 + 315767572624 = 1380023^2 + 561932^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2220231053153 is a prime.

It is a super-3 number, since 3×22202310531533 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (2220231058153) 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, 1110115526576 + 1110115526577.

It is an arithmetic number, because the mean of its divisors is an integer number (1110115526577).

Almost surely, 22220231053153 is an apocalyptic number.

It is an amenable number.

2220231053153 is a deficient number, since it is larger than the sum of its proper divisors (1).

2220231053153 is an equidigital number, since it uses as much as digits as its factorization.

2220231053153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10800, while the sum is 29.

Adding to 2220231053153 its reverse (3513501320222), we get a palindrome (5733732373375).

The spelling of 2220231053153 in words is "two trillion, two hundred twenty billion, two hundred thirty-one million, fifty-three thousand, one hundred fifty-three".