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330031123101031 = 11279734471311183
BaseRepresentation
bin100101100001010010101101…
…1110110110111010101100111
31121021112200000102020200200211
41023002211123312313111213
5321224212220003213111
63125530112131320251
7126341650615154212
oct11302453366672547
91537480012220624
10330031123101031
1196181460107a80
12310222ab450087
131121ca557b7881
145b6d83d460779
152824d00b5c521
hex12c295bdb7567

330031123101031 has 16 divisors (see below), whose sum is σ = 360174279656448. Its totient is φ = 299911361378400.

The previous prime is 330031123101011. The next prime is 330031123101037. The reversal of 330031123101031 is 130101321130033.

It is a cyclic number.

It is not a de Polignac number, because 330031123101031 - 25 = 330031123100999 is a prime.

It is a super-2 number, since 2×3300311231010312 (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 = 330031123100993 and 330031123101011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330031123101037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1060413666 + ... + 1060724848.

It is an arithmetic number, because the mean of its divisors is an integer number (22510892478528).

Almost surely, 2330031123101031 is an apocalyptic number.

330031123101031 is a deficient number, since it is larger than the sum of its proper divisors (30143156555417).

330031123101031 is a wasteful number, since it uses less digits than its factorization.

330031123101031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348462.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 330031123101031 its reverse (130101321130033), we get a palindrome (460132444231064).

The spelling of 330031123101031 in words is "three hundred thirty trillion, thirty-one billion, one hundred twenty-three million, one hundred one thousand, thirty-one".

Divisors: 1 11 2797 30767 34471 311183 379181 3423013 96415387 870378851 1060569257 9574167361 10726789193 117994681123 30002829372821 330031123101031