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211322301013 = 17232935951913
BaseRepresentation
bin1100010011001111001…
…0100110101001010101
3202012110102012011121101
43010303302212221111
511430242002113023
6241025150150101
721160522630645
oct3046362465125
9665412164541
10211322301013
1181691a2556a
1234b574b2331
1316c09c52185
14a329acc525
15576c47a1ad
hex3133ca6a55

211322301013 has 32 divisors (see below), whose sum is σ = 242209958400. Its totient is φ = 183168792576.

The previous prime is 211322301007. The next prime is 211322301019. The reversal of 211322301013 is 310103223112.

211322301013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (211322301007) and next prime (211322301019).

It is a cyclic number.

It is not a de Polignac number, because 211322301013 - 217 = 211322169941 is a prime.

It is a super-2 number, since 2×2113223010132 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211322301019) 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 in 31 ways as a sum of consecutive naturals, for example, 4044745 + ... + 4096657.

It is an arithmetic number, because the mean of its divisors is an integer number (7569061200).

Almost surely, 2211322301013 is an apocalyptic number.

211322301013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

211322301013 is a deficient number, since it is larger than the sum of its proper divisors (30887657387).

211322301013 is a wasteful number, since it uses less digits than its factorization.

211322301013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52341.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 211322301013 its reverse (310103223112), we get a palindrome (521425524125).

The spelling of 211322301013 in words is "two hundred eleven billion, three hundred twenty-two million, three hundred one thousand, thirteen".

Divisors: 1 17 23 29 359 391 493 667 6103 8257 10411 11339 51913 140369 176987 239453 882521 1193999 1505477 4070701 18636767 20297983 25593109 34625971 316825039 428645641 540466243 588641507 7286975897 9187926131 12430723589 211322301013