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330431212402031 = 13371817079536149
BaseRepresentation
bin100101100100001101000001…
…1000010011011010101101111
31121022221220201022212000122002
41023020122003002123111233
5321302241110333331111
63130434000421442515
7126412603323130046
oct11310320302332557
91538856638760562
10330431212402031
11963160aa093554
123108794857043b
131124b6b6791930
145b84d5542b55d
15283041a2e563b
hex12c868309b56f

330431212402031 has 32 divisors (see below), whose sum is σ = 367538288208000. Its totient is φ = 295087967101440.

The previous prime is 330431212401991. The next prime is 330431212402051. The reversal of 330431212402031 is 130204212134033.

It is a cyclic number.

It is not a de Polignac number, because 330431212402031 - 214 = 330431212385647 is a prime.

It is a super-2 number, since 2×3304312124020312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 330431212401985 and 330431212402003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330431212402051) 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, 616036745 + ... + 616572893.

It is an arithmetic number, because the mean of its divisors is an integer number (11485571506500).

Almost surely, 2330431212402031 is an apocalyptic number.

330431212402031 is a deficient number, since it is larger than the sum of its proper divisors (37107075805969).

330431212402031 is a wasteful number, since it uses less digits than its factorization.

330431212402031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543459.

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 330431212402031 its reverse (130204212134033), we get a palindrome (460635424536064).

The spelling of 330431212402031 in words is "three hundred thirty trillion, four hundred thirty-one billion, two hundred twelve million, four hundred two thousand, thirty-one".

Divisors: 1 13 37 181 481 2353 6697 7079 87061 92027 261923 536149 1281299 3404999 6969937 16656887 19837513 47408063 97042969 257887669 616304819 1261558597 3590589853 3795398771 46677668089 49340184023 140429754527 686967177551 1825586808851 8930573308163 25417785569387 330431212402031