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223140400961 is a prime number
BaseRepresentation
bin1100111111010000110…
…1000100111101000001
3210022222001000211222212
43033310031010331001
512123442420312321
6250302001111505
722056425053562
oct3176415047501
9708861024885
10223140400961
11866a6a36a15
12372b5328595
13180714c901a
14ab2b4ba169
155c0ec6955b
hex33f4344f41

223140400961 has 2 divisors, whose sum is σ = 223140400962. Its totient is φ = 223140400960.

The previous prime is 223140400921. The next prime is 223140401009. The reversal of 223140400961 is 169004041322.

223140400961 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., 191795823025 + 31344577936 = 437945^2 + 177044^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-223140400961 is a prime.

It is a super-3 number, since 3×2231404009613 (a number of 35 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (223140400921) 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, 111570200480 + 111570200481.

It is an arithmetic number, because the mean of its divisors is an integer number (111570200481).

Almost surely, 2223140400961 is an apocalyptic number.

It is an amenable number.

223140400961 is a deficient number, since it is larger than the sum of its proper divisors (1).

223140400961 is an equidigital number, since it uses as much as digits as its factorization.

223140400961 is an odious number, because the sum of its binary digits is odd.

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

The spelling of 223140400961 in words is "two hundred twenty-three billion, one hundred forty million, four hundred thousand, nine hundred sixty-one".