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247011130801 is a prime number
BaseRepresentation
bin1110011000001100000…
…0101011110110110001
3212121120122000120101001
43212003000223312301
513021334322141201
6305250401442001
723563110653251
oct3460300536661
9777518016331
10247011130801
1195836386616
123ba57640301
131a3a6aa3b36
14bd538a5961
15665a723301
hex398302bdb1

247011130801 has 2 divisors, whose sum is σ = 247011130802. Its totient is φ = 247011130800.

The previous prime is 247011130757. The next prime is 247011130811. The reversal of 247011130801 is 108031110742.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 130696710400 + 116314420401 = 361520^2 + 341049^2 .

It is a cyclic number.

It is not a de Polignac number, because 247011130801 - 225 = 246977576369 is a prime.

It is a super-2 number, since 2×2470111308012 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 247011130801.

It is not a weakly prime, because it can be changed into another prime (247011130811) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 123505565400 + 123505565401.

It is an arithmetic number, because the mean of its divisors is an integer number (123505565401).

Almost surely, 2247011130801 is an apocalyptic number.

It is an amenable number.

247011130801 is a deficient number, since it is larger than the sum of its proper divisors (1).

247011130801 is an equidigital number, since it uses as much as digits as its factorization.

247011130801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1344, while the sum is 28.

The spelling of 247011130801 in words is "two hundred forty-seven billion, eleven million, one hundred thirty thousand, eight hundred one".