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331121101233231 = 32474967157598591
BaseRepresentation
bin100101101001001110010001…
…1100111011101110001001111
31121102101212102212101211022200
41023102130203213131301033
5321400042003403430411
63132122533421412543
7126513465365341251
oct11322344347356117
91542355385354280
10331121101233231
11965617413783a1
12311795a2a0a153
131129b7801ba04a
145baa4bd911cd1
152843346880e56
hex12d27239ddc4f

331121101233231 has 24 divisors (see below), whose sum is σ = 488560678354944. Its totient is φ = 216007149031440.

The previous prime is 331121101233227. The next prime is 331121101233253. The reversal of 331121101233231 is 132332101121133.

331121101233231 is a `hidden beast` number, since 3 + 3 + 1 + 1 + 211 + 0 + 123 + 323 + 1 = 666.

It is not a de Polignac number, because 331121101233231 - 22 = 331121101233227 is a prime.

It is a super-2 number, since 2×3311211012332312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 331121101233195 and 331121101233204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331121101233031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76698255 + ... + 80900336.

It is an arithmetic number, because the mean of its divisors is an integer number (20356694931456).

Almost surely, 2331121101233231 is an apocalyptic number.

331121101233231 is a deficient number, since it is larger than the sum of its proper divisors (157439577121713).

331121101233231 is a wasteful number, since it uses less digits than its factorization.

331121101233231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157603611 (or 157603608 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 331121101233231 its reverse (132332101121133), we get a palindrome (463453202354364).

The spelling of 331121101233231 in words is "three hundred thirty-one trillion, one hundred twenty-one billion, one hundred one million, two hundred thirty-three thousand, two hundred thirty-one".

Divisors: 1 3 9 47 141 423 4967 14901 44703 233449 700347 2101041 157598591 472795773 1418387319 7407133777 22221401331 66664203993 782792201497 2348376604491 7045129813473 36791233470359 110373700411077 331121101233231