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223121023409 is a prime number
BaseRepresentation
bin1100111111001100001…
…1001010000110110001
3210022220200120100222202
43033303003022012301
512123422440222114
6250300025512545
722056101256344
oct3176303120661
9708820510882
10223121023409
1186697001309
12372aa942755
131806a4a300b
14ab28ab445b
155c0d1dccde
hex33f30ca1b1

223121023409 has 2 divisors, whose sum is σ = 223121023410. Its totient is φ = 223121023408.

The previous prime is 223121023381. The next prime is 223121023429. The reversal of 223121023409 is 904320121322.

It is a happy number.

223121023409 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 220749625600 + 2371397809 = 469840^2 + 48697^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-223121023409 is a prime.

It is a super-3 number, since 3×2231210234093 (a number of 35 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (223121023429) 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, 111560511704 + 111560511705.

It is an arithmetic number, because the mean of its divisors is an integer number (111560511705).

Almost surely, 2223121023409 is an apocalyptic number.

It is an amenable number.

223121023409 is a deficient number, since it is larger than the sum of its proper divisors (1).

223121023409 is an equidigital number, since it uses as much as digits as its factorization.

223121023409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 29.

The spelling of 223121023409 in words is "two hundred twenty-three billion, one hundred twenty-one million, twenty-three thousand, four hundred nine".