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223131133033 is a prime number
BaseRepresentation
bin1100111111001110100…
…1101110010001101001
3210022221101120222210021
43033303221232101221
512123433032224113
6250301030320441
722056253223434
oct3176351562151
9708841528707
10223131133033
11866a1786876
12372b21b9121
131806c602743
14ab2a18681b
155c0e03848d
hex33f3a6e469

223131133033 has 2 divisors, whose sum is σ = 223131133034. Its totient is φ = 223131133032.

The previous prime is 223131133021. The next prime is 223131133051. The reversal of 223131133033 is 330331131322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 205600578624 + 17530554409 = 453432^2 + 132403^2 .

It is a cyclic number.

It is not a de Polignac number, because 223131133033 - 221 = 223129035881 is a prime.

It is a super-3 number, since 3×2231311330333 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223131132989 and 223131133007.

It is not a weakly prime, because it can be changed into another prime (223131133133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111565566516 + 111565566517.

It is an arithmetic number, because the mean of its divisors is an integer number (111565566517).

Almost surely, 2223131133033 is an apocalyptic number.

It is an amenable number.

223131133033 is a deficient number, since it is larger than the sum of its proper divisors (1).

223131133033 is an equidigital number, since it uses as much as digits as its factorization.

223131133033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 223131133033 its reverse (330331131322), we get a palindrome (553462264355).

The spelling of 223131133033 in words is "two hundred twenty-three billion, one hundred thirty-one million, one hundred thirty-three thousand, thirty-three".