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220253255141 is a prime number
BaseRepresentation
bin1100110100100000011…
…1011111010111100101
3210001111211100122111012
43031020013133113211
512102034313131031
6245103303352005
721625036531043
oct3151007372745
9701454318435
10220253255141
1185455247597
123682a452605
1317a0130900a
14a935c8d393
155ae1568b2b
hex33481df5e5

220253255141 has 2 divisors, whose sum is σ = 220253255142. Its totient is φ = 220253255140.

The previous prime is 220253255129. The next prime is 220253255171. The reversal of 220253255141 is 141552352022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 215398092100 + 4855163041 = 464110^2 + 69679^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-220253255141 is a prime.

It is a super-2 number, since 2×2202532551412 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 220253255098 and 220253255107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (220253255171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110126627570 + 110126627571.

It is an arithmetic number, because the mean of its divisors is an integer number (110126627571).

Almost surely, 2220253255141 is an apocalyptic number.

It is an amenable number.

220253255141 is a deficient number, since it is larger than the sum of its proper divisors (1).

220253255141 is an equidigital number, since it uses as much as digits as its factorization.

220253255141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24000, while the sum is 32.

The spelling of 220253255141 in words is "two hundred twenty billion, two hundred fifty-three million, two hundred fifty-five thousand, one hundred forty-one".