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12031331232231 = 334194153256079
BaseRepresentation
bin1010111100010100001100…
…1110010110100111100111
31120121011222011022121111000
42233011003032112213213
53034110131243412411
641331041155044343
72351143414051623
oct257050316264747
946534864277430
1012031331232231
113919505908363
1214239045a06b3
1369371b80675c
142d8468b58183
1515ce68858956
hexaf1433969e7

12031331232231 has 32 divisors (see below), whose sum is σ = 17871106176000. Its totient is φ = 7999786580544.

The previous prime is 12031331232227. The next prime is 12031331232247. The reversal of 12031331232231 is 13223213313021.

12031331232231 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 1 + 331 + 2 + 322 + 3 + 1 = 666.

It is not a de Polignac number, because 12031331232231 - 22 = 12031331232227 is a prime.

It is a super-2 number, since 2×120313312322312 (a number of 27 digits) contains 22 as substring.

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 = 12031331232195 and 12031331232204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12031331232211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46854850 + ... + 47110928.

It is an arithmetic number, because the mean of its divisors is an integer number (558472068000).

Almost surely, 212031331232231 is an apocalyptic number.

12031331232231 is a deficient number, since it is larger than the sum of its proper divisors (5839774943769).

12031331232231 is a wasteful number, since it uses less digits than its factorization.

12031331232231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260660 (or 260654 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 12031331232231 its reverse (13223213313021), we get a palindrome (25254544545252).

The spelling of 12031331232231 in words is "twelve trillion, thirty-one billion, three hundred thirty-one million, two hundred thirty-two thousand, two hundred thirty-one".

Divisors: 1 3 9 27 419 1257 3771 4153 11313 12459 37377 112131 256079 768237 1740107 2304711 5220321 6914133 15660963 46982889 107297101 321891303 965673909 1063496087 2897021727 3190488261 9571464783 28714394349 445604860453 1336814581359 4010443744077 12031331232231