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331223100232032 = 25332457231560131
BaseRepresentation
bin100101101001111101110001…
…1001110110001000101100000
31121102202121201100111211102000
41023103323203032301011200
5321403224402124411112
63132241442554124000
7126524036124461511
oct11323734316610540
91542677640454360
10331223100232032
11965a0a23126918
123119530a120600
13112a8286bb31c8
145bb13d824aa08
152845d163317dc
hex12d3ee33b1160

331223100232032 has 96 divisors (see below), whose sum is σ = 966071926431360. Its totient is φ = 110407179991680.

The previous prime is 331223100231997. The next prime is 331223100232049. The reversal of 331223100232032 is 230232001322133.

331223100232032 is a `hidden beast` number, since 3 + 3 + 1 + 22 + 310 + 0 + 2 + 320 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 331223100231987 and 331223100232005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211524607 + ... + 213084737.

It is an arithmetic number, because the mean of its divisors is an integer number (10063249233660).

Almost surely, 2331223100232032 is an apocalyptic number.

331223100232032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

331223100232032 is an abundant number, since it is smaller than the sum of its proper divisors (634848826199328).

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

331223100232032 is a wasteful number, since it uses less digits than its factorization.

331223100232032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1805873 (or 1805859 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 331223100232032 its reverse (230232001322133), we get a palindrome (561455101554165).

The spelling of 331223100232032 in words is "three hundred thirty-one trillion, two hundred twenty-three billion, one hundred million, two hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 245723 491446 737169 982892 1474338 1560131 1965784 2211507 2948676 3120262 3931568 4423014 4680393 5897352 6240524 6634521 7863136 8846028 9360786 11794704 12481048 13269042 14041179 17692056 18721572 23589408 24962096 26538084 28082358 35384112 37443144 42123537 49924192 53076168 56164716 70768224 74886288 84247074 106152336 112329432 149772576 168494148 212304672 224658864 336988296 449317728 673976592 1347953184 383360069713 766720139426 1150080209139 1533440278852 2300160418278 3066880557704 3450240627417 4600320836556 6133761115408 6900481254834 9200641673112 10350721882251 12267522230816 13800962509668 18401283346224 20701443764502 27601925019336 36802566692448 41402887529004 55203850038672 82805775058008 110407700077344 165611550116016 331223100232032