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223131312031 is a prime number
BaseRepresentation
bin1100111111001110101…
…0011001111110011111
3210022221101221002022211
43033303222121332133
512123433103441111
6250301034221251
722056254600335
oct3176352317637
9708841832284
10223131312031
11866a1899301
12372b2284827
131806c666064
14ab2a1d1b55
155c0e071521
hex33f3a99f9f

223131312031 has 2 divisors, whose sum is σ = 223131312032. Its totient is φ = 223131312030.

The previous prime is 223131312023. The next prime is 223131312067. The reversal of 223131312031 is 130213131322.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 223131312031 - 23 = 223131312023 is a prime.

It is a super-3 number, since 3×2231313120313 (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 = 223131311993 and 223131312011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223131312071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111565656015 + 111565656016.

It is an arithmetic number, because the mean of its divisors is an integer number (111565656016).

Almost surely, 2223131312031 is an apocalyptic number.

223131312031 is a deficient number, since it is larger than the sum of its proper divisors (1).

223131312031 is an equidigital number, since it uses as much as digits as its factorization.

223131312031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 223131312031 its reverse (130213131322), we get a palindrome (353344443353).

The spelling of 223131312031 in words is "two hundred twenty-three billion, one hundred thirty-one million, three hundred twelve thousand, thirty-one".