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331132103133012 = 2232106372111199969
BaseRepresentation
bin100101101001010011011001…
…1011000011000011101010100
31121102102220211121102020120100
41023102212303120120131110
5321400232021400224022
63132131553234334100
7126514335130055646
oct11322466330303524
91542386747366510
10331132103133012
1196566377693555
123117b75342a330
131129c81462b30c
145baac44b58896
15284378c6981ac
hex12d29b3618754

331132103133012 has 72 divisors (see below), whose sum is σ = 837932676759360. Its totient is φ = 110258147704320.

The previous prime is 331132103132993. The next prime is 331132103133017. The reversal of 331132103133012 is 210331301231133.

331132103133012 is a `hidden beast` number, since 3 + 3 + 1 + 1 + 32 + 10 + 313 + 301 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331132103133017) 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 23 ways as a sum of consecutive naturals, for example, 275350564 + ... + 276550532.

It is an arithmetic number, because the mean of its divisors is an integer number (11637953843880).

Almost surely, 2331132103133012 is an apocalyptic number.

It is an amenable number.

331132103133012 is an abundant number, since it is smaller than the sum of its proper divisors (506800573626348).

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

331132103133012 is a wasteful number, since it uses less digits than its factorization.

331132103133012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208253 (or 1208248 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 331132103133012 its reverse (210331301231133), we get a palindrome (541463404364145).

The spelling of 331132103133012 in words is "three hundred thirty-one trillion, one hundred thirty-two billion, one hundred three million, one hundred thirty-three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 1063 2126 3189 4252 6378 7211 9567 12756 14422 19134 21633 28844 38268 43266 64899 86532 129798 259596 1199969 2399938 3599907 4799876 7199814 7665293 10799721 14399628 15330586 21599442 22995879 30661172 43198884 45991758 68987637 91983516 137975274 275950548 1275567047 2551134094 3826701141 5102268188 7653402282 8652976459 11480103423 15306804564 17305952918 22960206846 25958929377 34611905836 45920413692 51917858754 77876788131 103835717508 155753576262 311507152524 9198113975917 18396227951834 27594341927751 36792455903668 55188683855502 82783025783253 110377367711004 165566051566506 331132103133012