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331131123022331 = 23432512671149939
BaseRepresentation
bin100101101001010010111100…
…0111101100011100111111011
31121102102211022022011110110202
41023102211320331203213323
5321400223014443203311
63132131312103232415
7126514301626213262
oct11322457075434773
91542384268143422
10331131123022331
1196565a14414925
123117b51b14870b
131129c6b9566078
145baab909075d9
1528437315e4e3b
hex12d2978f639fb

331131123022331 has 32 divisors (see below), whose sum is σ = 354992684175360. Its totient is φ = 308117959380000.

The previous prime is 331131123022289. The next prime is 331131123022421. The reversal of 331131123022331 is 133220321131133.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-331131123022331 is a prime.

It is a super-2 number, since 2×3311311230223312 (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 = 331131123022294 and 331131123022303.

It is not an unprimeable number, because it can be changed into a prime (331131123022831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6630686960 + ... + 6630736898.

It is an arithmetic number, because the mean of its divisors is an integer number (11093521380480).

Almost surely, 2331131123022331 is an apocalyptic number.

331131123022331 is a deficient number, since it is larger than the sum of its proper divisors (23861561153029).

331131123022331 is a wasteful number, since it uses less digits than its factorization.

331131123022331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76967.

The product of its (nonzero) digits is 5832, while the sum is 29.

Adding to 331131123022331 its reverse (133220321131133), we get a palindrome (464351444153464).

The spelling of 331131123022331 in words is "three hundred thirty-one trillion, one hundred thirty-one billion, one hundred twenty-three million, twenty-two thousand, three hundred thirty-one".

Divisors: 1 23 43 251 989 5773 10793 26711 49939 248239 614353 1148573 1148597 2147377 6704461 12534689 26417179 49389671 154202603 288291823 288297847 538991627 1333920629 6630711929 12396807421 30680174467 57358587047 334814077879 1319247502081 7700723791217 14397005348797 331131123022331