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211330331320031 = 71129291732444171
BaseRepresentation
bin110000000011010000101101…
…010101000001111011011111
31000201020222112010221110122022
4300003100231111001323133
5210144414004304220111
62025243451451410355
762341053421426130
oct6003205525017337
91021228463843568
10211330331320031
11613777657291a0
121b8512984539bb
1390bc49841c481
143a2862a74dc87
1519672c0b7a2db
hexc0342d541edf

211330331320031 has 32 divisors (see below), whose sum is σ = 272655630420480. Its totient is φ = 158940095529600.

The previous prime is 211330331320013. The next prime is 211330331320033. The reversal of 211330331320031 is 130023133033112.

It is not a de Polignac number, because 211330331320031 - 214 = 211330331303647 is a prime.

It is a super-2 number, since 2×2113303313200312 (a number of 29 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 (211330331320033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9708425 + ... + 22735746.

It is an arithmetic number, because the mean of its divisors is an integer number (8520488450640).

Almost surely, 2211330331320031 is an apocalyptic number.

211330331320031 is a deficient number, since it is larger than the sum of its proper divisors (61325299100449).

211330331320031 is a wasteful number, since it uses less digits than its factorization.

211330331320031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32447135.

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 211330331320031 its reverse (130023133033112), we get a palindrome (341353464353143).

The spelling of 211330331320031 in words is "two hundred eleven trillion, three hundred thirty billion, three hundred thirty-one million, three hundred twenty thousand, thirty-one".

Divisors: 1 7 11 29 77 203 319 2233 2917 20419 32087 84593 224609 592151 930523 6513661 32444171 227109197 356885881 940880959 2498201167 6586166713 10349690549 72447833843 94639646807 662477527649 1041036114877 2744549757403 7287252804139 19211848301821 30190047331433 211330331320031