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231303112212001 is a prime number
BaseRepresentation
bin110100100101111001110011…
…110101101011111000100001
31010022222100202120212000112211
4310211321303311223320201
5220304132233211241001
62135535103253522121
766502045514034664
oct6445716365537041
91108870676760484
10231303112212001
116777810a869525
1221b38114343341
139c0aa36507c0b
1441191b7a116db
151bb1ad10ea351
hexd25e73d6be21

231303112212001 has 2 divisors, whose sum is σ = 231303112212002. Its totient is φ = 231303112212000.

The previous prime is 231303112211999. The next prime is 231303112212023. The reversal of 231303112212001 is 100212211303132.

It is an a-pointer prime, because the next prime (231303112212023) can be obtained adding 231303112212001 to its sum of digits (22).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 192227798661376 + 39075313550625 = 13864624^2 + 6251025^2 .

It is a cyclic number.

It is not a de Polignac number, because 231303112212001 - 21 = 231303112211999 is a prime.

It is a super-2 number, since 2×2313031122120012 (a number of 30 digits) contains 22 as substring.

Together with 231303112211999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (231303112218001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 115651556106000 + 115651556106001.

It is an arithmetic number, because the mean of its divisors is an integer number (115651556106001).

Almost surely, 2231303112212001 is an apocalyptic number.

It is an amenable number.

231303112212001 is a deficient number, since it is larger than the sum of its proper divisors (1).

231303112212001 is an equidigital number, since it uses as much as digits as its factorization.

231303112212001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 231303112212001 its reverse (100212211303132), we get a palindrome (331515323515133).

The spelling of 231303112212001 in words is "two hundred thirty-one trillion, three hundred three billion, one hundred twelve million, two hundred twelve thousand, one".