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231122331011003 is a prime number
BaseRepresentation
bin110100100011010001011100…
…011100001000011110111011
31010022100002010122010110222212
4310203101130130020132323
5220243202013214323003
62135320044425205335
766453015551135645
oct6443213434103673
91108302118113885
10231122331011003
1167708480566493
1221b0908103084b
139bc6985a93373
144110548181895
151bac05002edd8
hexd2345c7087bb

231122331011003 has 2 divisors, whose sum is σ = 231122331011004. Its totient is φ = 231122331011002.

The previous prime is 231122331010981. The next prime is 231122331011069. The reversal of 231122331011003 is 300110133221132.

231122331011003 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 231122331011003 - 210 = 231122331009979 is a prime.

It is a super-2 number, since 2×2311223310110032 (a number of 30 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a self number, because there is not a number n which added to its sum of digits gives 231122331011003.

It is not a weakly prime, because it can be changed into another prime (231122331011903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 115561165505501 + 115561165505502.

It is an arithmetic number, because the mean of its divisors is an integer number (115561165505502).

Almost surely, 2231122331011003 is an apocalyptic number.

231122331011003 is a deficient number, since it is larger than the sum of its proper divisors (1).

231122331011003 is an equidigital number, since it uses as much as digits as its factorization.

231122331011003 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 23.

Adding to 231122331011003 its reverse (300110133221132), we get a palindrome (531232464232135).

The spelling of 231122331011003 in words is "two hundred thirty-one trillion, one hundred twenty-two billion, three hundred thirty-one million, eleven thousand, three".