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330020112313231 = 7124182135116691
BaseRepresentation
bin100101100001001101100101…
…1100100000010101110001111
31121021111121121001111201101021
41023002123023210002232033
5321224022142223010411
63125521051400055011
7126341111015051104
oct11302331344025617
91537447531451337
10330020112313231
119617781a88114a
1231020137a64467
131121b9bc583c12
145b6d0b6d82aab
1528248a918ba71
hex12c26cb902b8f

330020112313231 has 32 divisors (see below), whose sum is σ = 336612407104512. Its totient is φ = 323486654400000.

The previous prime is 330020112313207. The next prime is 330020112313237. The reversal of 330020112313231 is 132313211020033.

It is a cyclic number.

It is not a de Polignac number, because 330020112313231 - 27 = 330020112313103 is a prime.

It is a super-2 number, since 2×3300201123132312 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 330020112313196 and 330020112313205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330020112313237) 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, 49322984596 + ... + 49322991286.

It is an arithmetic number, because the mean of its divisors is an integer number (10519137722016).

Almost surely, 2330020112313231 is an apocalyptic number.

330020112313231 is a deficient number, since it is larger than the sum of its proper divisors (6592294791281).

330020112313231 is a wasteful number, since it uses less digits than its factorization.

330020112313231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11335.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 330020112313231 its reverse (132313211020033), we get a palindrome (462333323333264).

The spelling of 330020112313231 in words is "three hundred thirty trillion, twenty billion, one hundred twelve million, three hundred thirteen thousand, two hundred thirty-one".

Divisors: 1 71 241 821 3511 6691 17111 58291 197861 249281 475061 846151 1612531 2882531 5493311 14048131 23492101 60076721 114489701 204659701 390025081 694689971 1323887951 1667939171 5661596341 19287014921 49322987941 93996044521 401973340211 1369378059391 4648170595961 330020112313231