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12355214031 = 321817584539
BaseRepresentation
bin10111000000110110…
…11001101011001111
31011220001111220101200
423200123121223033
5200300413322111
65401555040543
7615113405106
oct134033315317
934801456350
1012355214031
115270218196
1224898a0153
13121b925044
14852c8503d
154c4a39256
hex2e06d9acf

12355214031 has 12 divisors (see below), whose sum is σ = 17945021640. Its totient is φ = 8191301040.

The previous prime is 12355214009. The next prime is 12355214033. The reversal of 12355214031 is 13041255321.

12355214031 is a `hidden beast` number, since 1 + 235 + 5 + 21 + 403 + 1 = 666.

It is not a de Polignac number, because 12355214031 - 210 = 12355213007 is a prime.

It is a super-2 number, since 2×123552140312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12355213986 and 12355214004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12355214033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3790641 + ... + 3793898.

It is an arithmetic number, because the mean of its divisors is an integer number (1495418470).

Almost surely, 212355214031 is an apocalyptic number.

12355214031 is a deficient number, since it is larger than the sum of its proper divisors (5589807609).

12355214031 is a wasteful number, since it uses less digits than its factorization.

12355214031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7584726 (or 7584723 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 12355214031 its reverse (13041255321), we get a palindrome (25396469352).

The spelling of 12355214031 in words is "twelve billion, three hundred fifty-five million, two hundred fourteen thousand, thirty-one".

Divisors: 1 3 9 181 543 1629 7584539 22753617 68260851 1372801559 4118404677 12355214031