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211133232031 is a prime number
BaseRepresentation
bin1100010010100010000…
…1010111001110011111
3202011222020102110201111
43010220201113032133
511424400101411111
6240554313522451
721153035601301
oct3045041271637
9664866373644
10211133232031
11815a5229207
1234b04113427
1316ba9a24437
14a30c953971
15575aa7ea21
hex312885739f

211133232031 has 2 divisors, whose sum is σ = 211133232032. Its totient is φ = 211133232030.

The previous prime is 211133232019. The next prime is 211133232041. The reversal of 211133232031 is 130232331112.

211133232031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 211133232031 - 25 = 211133231999 is a prime.

It is a super-2 number, since 2×2111332320312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211133231993 and 211133232011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211133232041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105566616015 + 105566616016.

It is an arithmetic number, because the mean of its divisors is an integer number (105566616016).

Almost surely, 2211133232031 is an apocalyptic number.

211133232031 is a deficient number, since it is larger than the sum of its proper divisors (1).

211133232031 is an equidigital number, since it uses as much as digits as its factorization.

211133232031 is an odious number, because the sum of its binary digits is odd.

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

Adding to 211133232031 its reverse (130232331112), we get a palindrome (341365563143).

The spelling of 211133232031 in words is "two hundred eleven billion, one hundred thirty-three million, two hundred thirty-two thousand, thirty-one".