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223212031129 is a prime number
BaseRepresentation
bin1100111111100001111…
…0010100110010011001
3210100011000211001010001
43033320132110302121
512124114234444004
6250313040253001
722061254650103
oct3177036246231
9710130731101
10223212031129
11867334107aa
1237315311161
13180832b8839
14ab36c04573
155c161b81a4
hex33f8794c99

223212031129 has 2 divisors, whose sum is σ = 223212031130. Its totient is φ = 223212031128.

The previous prime is 223212031123. The next prime is 223212031153. The reversal of 223212031129 is 921130212322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 151047267904 + 72164763225 = 388648^2 + 268635^2 .

It is a cyclic number.

It is not a de Polignac number, because 223212031129 - 219 = 223211506841 is a prime.

It is a super-3 number, since 3×2232120311293 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 223212031097 and 223212031106.

It is not a weakly prime, because it can be changed into another prime (223212031123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111606015564 + 111606015565.

It is an arithmetic number, because the mean of its divisors is an integer number (111606015565).

Almost surely, 2223212031129 is an apocalyptic number.

It is an amenable number.

223212031129 is a deficient number, since it is larger than the sum of its proper divisors (1).

223212031129 is an equidigital number, since it uses as much as digits as its factorization.

223212031129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 28.

The spelling of 223212031129 in words is "two hundred twenty-three billion, two hundred twelve million, thirty-one thousand, one hundred twenty-nine".