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223131311129 is a prime number
BaseRepresentation
bin1100111111001110101…
…0011001110000011001
3210022221101221001002102
43033303222121300121
512123433103424004
6250301034213145
722056254564606
oct3176352316031
9708841831072
10223131311129
11866a1898661
12372b22841b5
131806c66581c
14ab2a1d16ad
155c0e07111e
hex33f3a99c19

223131311129 has 2 divisors, whose sum is σ = 223131311130. Its totient is φ = 223131311128.

The previous prime is 223131311113. The next prime is 223131311209. The reversal of 223131311129 is 921113131322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 204046441225 + 19084869904 = 451715^2 + 138148^2 .

It is a cyclic number.

It is not a de Polignac number, because 223131311129 - 24 = 223131311113 is a prime.

It is a super-3 number, since 3×2231313111293 (a number of 35 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 (223131313129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111565655564 + 111565655565.

It is an arithmetic number, because the mean of its divisors is an integer number (111565655565).

Almost surely, 2223131311129 is an apocalyptic number.

It is an amenable number.

223131311129 is a deficient number, since it is larger than the sum of its proper divisors (1).

223131311129 is an equidigital number, since it uses as much as digits as its factorization.

223131311129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1944, while the sum is 29.

The spelling of 223131311129 in words is "two hundred twenty-three billion, one hundred thirty-one million, three hundred eleven thousand, one hundred twenty-nine".