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331220211331332 = 223312315938446259
BaseRepresentation
bin100101101001111100011011…
…1000010011111000100000100
31121102202100021000112110122210
41023103320313002133010010
5321403202443100100312
63132240244155023420
7126523604415306501
oct11323706702370404
91542670230473583
10331220211331332
119659a780448a84
123119484273ab70
13112a7c1652a4cb
145bb12026c44a8
152845be78d5e3c
hex12d3e3709f104

331220211331332 has 48 divisors (see below), whose sum is σ = 797812181913600. Its totient is φ = 106840613131680.

The previous prime is 331220211331319. The next prime is 331220211331337. The reversal of 331220211331332 is 233133112022133.

It is a super-3 number, since 3×3312202113313323 (a number of 45 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 331220211331332.

It is not an unprimeable number, because it can be changed into a prime (331220211331337) 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 15 ways as a sum of consecutive naturals, for example, 10607982 + ... + 27838277.

It is an arithmetic number, because the mean of its divisors is an integer number (16621087123200).

Almost surely, 2331220211331332 is an apocalyptic number.

It is an amenable number.

331220211331332 is an abundant number, since it is smaller than the sum of its proper divisors (466591970582268).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

331220211331332 is a wasteful number, since it uses less digits than its factorization.

331220211331332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38469456 (or 38469454 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

Adding to 331220211331332 its reverse (233133112022133), we get a palindrome (564353323353465).

The spelling of 331220211331332 in words is "three hundred thirty-one trillion, two hundred twenty billion, two hundred eleven million, three hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 31 62 93 124 186 372 23159 46318 69477 92636 138954 277908 717929 1435858 2153787 2871716 4307574 8615148 38446259 76892518 115338777 153785036 230677554 461355108 1191834029 2383668058 3575502087 4767336116 7151004174 14302008348 890376912181 1780753824362 2671130736543 3561507648724 5342261473086 10684522946172 27601684277611 55203368555222 82805052832833 110406737110444 165610105665666 331220211331332