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12131130122231 = 17192315119135653
BaseRepresentation
bin1011000010000111111110…
…1100111001111111110111
31120221201120022112111200012
42300201333230321333313
53042224023302402411
641444544135410435
72361305466450611
oct260417754717767
946851508474605
1012131130122231
11395786877254a
12143b116b23a1b
1369cc647608a3
142dd2151c7db1
1516085a0ba18b
hexb087fb39ff7

12131130122231 has 64 divisors (see below), whose sum is σ = 14211995719680. Its totient is φ = 10270615449600.

The previous prime is 12131130122207. The next prime is 12131130122233. The reversal of 12131130122231 is 13222103113121.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 12131130122231 - 210 = 12131130121207 is a prime.

It is a super-3 number, since 3×121311301222313 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 12131130122197 and 12131130122206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12131130122233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2145960401 + ... + 2145966053.

It is an arithmetic number, because the mean of its divisors is an integer number (222062433120).

Almost surely, 212131130122231 is an apocalyptic number.

12131130122231 is a deficient number, since it is larger than the sum of its proper divisors (2080865597449).

12131130122231 is a wasteful number, since it uses less digits than its factorization.

12131130122231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7776.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 12131130122231 its reverse (13222103113121), we get a palindrome (25353233235352).

The spelling of 12131130122231 in words is "twelve trillion, one hundred thirty-one billion, one hundred thirty million, one hundred twenty-two thousand, two hundred thirty-one".

Divisors: 1 17 19 23 151 323 391 437 1913 2567 2869 3473 5653 7429 32521 36347 43999 48773 59041 65987 96101 107407 130019 288863 617899 747983 835981 853603 1121779 1825919 2210323 2470361 4910671 5488397 6643849 10814189 14211677 14511251 16218457 19632869 41996137 93302749 112945433 126233131 183841213 205469591 248726347 275713769 333758773 373024511 1632942539 2145963227 3492983047 4228347899 4725800593 6341416687 27760023163 31025908241 37557678397 80338610081 527440440097 638480532749 713595889543 12131130122231