Search a number
-
+
330431131124031 = 373409337844983
BaseRepresentation
bin100101100100001100111111…
…0001100011000000100111111
31121022221220111122220200011210
41023020121332030120010333
5321302240424031432111
63130433544355415503
7126412601315232000
oct11310317614300477
91538856448820153
10330431131124031
119631606821a153
12310879252b4593
131124b6a29a4942
145b84d487111a7
1528304130dd0a6
hex12c867e31813f

330431131124031 has 32 divisors (see below), whose sum is σ = 513802520089600. Its totient is φ = 188813152295712.

The previous prime is 330431131124011. The next prime is 330431131124041. The reversal of 330431131124031 is 130421131134033.

It is a happy number.

It is not a de Polignac number, because 330431131124031 - 227 = 330430996906303 is a prime.

It is a super-2 number, since 2×3304311311240312 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 330431131124031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330431131124011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38197566 + ... + 46042548.

It is an arithmetic number, because the mean of its divisors is an integer number (16056328752800).

Almost surely, 2330431131124031 is an apocalyptic number.

330431131124031 is a deficient number, since it is larger than the sum of its proper divisors (183371388965569).

330431131124031 is an equidigital number, since it uses as much as digits as its factorization.

330431131124031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7885940 (or 7885926 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

Adding to 330431131124031 its reverse (130421131134033), we get a palindrome (460852262258064).

The spelling of 330431131124031 in words is "three hundred thirty trillion, four hundred thirty-one billion, one hundred thirty-one million, one hundred twenty-four thousand, thirty-one".

Divisors: 1 3 7 21 49 147 343 1029 40933 122799 286531 859593 2005717 6017151 7844983 14040019 23534949 42120057 54914881 164744643 384404167 1153212501 2690829169 8072487507 321118689139 963356067417 2247830823973 6743492471919 15734815767811 47204447303433 110143710374677 330431131124031