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331420122114133 = 1375149339244109
BaseRepresentation
bin100101101011011001100001…
…0101001100110100001010101
31121110110110021010221110011111
41023112303002221212201111
5321414441402230123013
63132512145140535021
7126544212404031163
oct11326630251464125
91543413233843144
10331420122114133
1196667536912a58
12312075343b1471
13112c0a2520cb30
145bbab689c0233
15284aee80d573d
hex12d6cc2a66855

331420122114133 has 8 divisors (see below), whose sum is σ = 356918728131000. Its totient is φ = 305922194735808.

The previous prime is 331420122114089. The next prime is 331420122114149. The reversal of 331420122114133 is 331411221024133.

It can be written as a sum of positive squares in 4 ways, for example, as 7218238675684 + 324201883438449 = 2686678^2 + 18005607^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 331420122114133 - 225 = 331420088559701 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 331420122114095 and 331420122114104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331420122114173) 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 7 ways as a sum of consecutive naturals, for example, 168645118 + ... + 170598991.

It is an arithmetic number, because the mean of its divisors is an integer number (44614841016375).

Almost surely, 2331420122114133 is an apocalyptic number.

It is an amenable number.

331420122114133 is a deficient number, since it is larger than the sum of its proper divisors (25498606016867).

331420122114133 is a wasteful number, since it uses less digits than its factorization.

331420122114133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339319271.

The product of its (nonzero) digits is 10368, while the sum is 31.

Adding to 331420122114133 its reverse (331411221024133), we get a palindrome (662831343138266).

The spelling of 331420122114133 in words is "three hundred thirty-one trillion, four hundred twenty billion, one hundred twenty-two million, one hundred fourteen thousand, one hundred thirty-three".

Divisors: 1 13 75149 976937 339244109 4410173417 25493855547241 331420122114133