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13223301178961 is a prime number
BaseRepresentation
bin1100000001101100101000…
…1010110110011001010001
31201211010122121001202020002
43000123022022312121101
53213122310100211321
644042411203455345
72533231505324636
oct300331212663121
951733577052202
1013223301178961
114238a7486a595
121596920987555
1374bc4b588043
1433a0229d418d
1517de7d5ae20b
hexc06ca2b6651

13223301178961 has 2 divisors, whose sum is σ = 13223301178962. Its totient is φ = 13223301178960.

The previous prime is 13223301178937. The next prime is 13223301179021. The reversal of 13223301178961 is 16987110332231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12971378496400 + 251922682561 = 3601580^2 + 501919^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13223301178961 is a prime.

It is a super-2 number, since 2×132233011789612 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13223301138961) 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, 6611650589480 + 6611650589481.

It is an arithmetic number, because the mean of its divisors is an integer number (6611650589481).

Almost surely, 213223301178961 is an apocalyptic number.

It is an amenable number.

13223301178961 is a deficient number, since it is larger than the sum of its proper divisors (1).

13223301178961 is an equidigital number, since it uses as much as digits as its factorization.

13223301178961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 326592, while the sum is 47.

The spelling of 13223301178961 in words is "thirteen trillion, two hundred twenty-three billion, three hundred one million, one hundred seventy-eight thousand, nine hundred sixty-one".