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223231130132081 is a prime number
BaseRepresentation
bin110010110000011100001100…
…001101101101111001110001
31002021101200120021111002022112
4302300130030031231321301
5213224404323303211311
62110434544312015105
765006626335321221
oct6260341415557161
91067350507432275
10223231130132081
1165145877377245
1221053831991495
1397737b3957876
143d1a631408081
151ac1b49a5128b
hexcb070c36de71

223231130132081 has 2 divisors, whose sum is σ = 223231130132082. Its totient is φ = 223231130132080.

The previous prime is 223231130132051. The next prime is 223231130132161. The reversal of 223231130132081 is 180231031132322.

223231130132081 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 170702482179856 + 52528647952225 = 13065316^2 + 7247665^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-223231130132081 is a prime.

It is a super-3 number, since 3×2232311301320813 (a number of 44 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 (223231130132051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111615565066040 + 111615565066041.

It is an arithmetic number, because the mean of its divisors is an integer number (111615565066041).

Almost surely, 2223231130132081 is an apocalyptic number.

It is an amenable number.

223231130132081 is a deficient number, since it is larger than the sum of its proper divisors (1).

223231130132081 is an equidigital number, since it uses as much as digits as its factorization.

223231130132081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10368, while the sum is 32.

The spelling of 223231130132081 in words is "two hundred twenty-three trillion, two hundred thirty-one billion, one hundred thirty million, one hundred thirty-two thousand, eighty-one".