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331333133103331 = 232918126910202537
BaseRepresentation
bin100101101010110001000000…
…1101100110111000011100011
31121110011010201201202211201121
41023111202001230313003203
5321412030224033301311
63132404201240313111
7126535012625446612
oct11325420154670343
91543133651684647
10331333133103331
1196633657888697
12311b26b7a72797
13112b577114bc88
145bb6875949879
152848b0626db71
hex12d5881b370e3

331333133103331 has 32 divisors (see below), whose sum is σ = 360973956470400. Its totient is φ = 303176927370240.

The previous prime is 331333133103319. The next prime is 331333133103353. The reversal of 331333133103331 is 133301331333133.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 331333133103331 - 233 = 331324543168739 is a prime.

It is a super-2 number, since 2×3313331331033312 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (331333133103361) 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 31 ways as a sum of consecutive naturals, for example, 27374295 + ... + 37576831.

It is an arithmetic number, because the mean of its divisors is an integer number (11280436139700).

Almost surely, 2331333133103331 is an apocalyptic number.

331333133103331 is a deficient number, since it is larger than the sum of its proper divisors (29640823367069).

331333133103331 is a wasteful number, since it uses less digits than its factorization.

331333133103331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10203039.

The product of its (nonzero) digits is 59049, while the sum is 34.

Adding to 331333133103331 its reverse (133301331333133), we get a palindrome (464634464436464).

The spelling of 331333133103331 in words is "three hundred thirty-one trillion, three hundred thirty-three billion, one hundred thirty-three million, one hundred three thousand, three hundred thirty-one".

Divisors: 1 23 29 181 269 667 4163 5249 6187 7801 48689 120727 179423 1119847 1411981 10202537 32475563 234658351 295873573 1846659197 2744482453 6805092179 42473161531 53553116713 63123096419 79589991137 496751323993 1231721684399 1830569796151 11425280451839 14405788395797 331333133103331