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12141300031311 = 3112359369269441
BaseRepresentation
bin1011000010101101110111…
…1000000001111101001111
31120222200211002000102020110
42300223131320001331033
53042410340302000221
641453345232051103
72362115506322403
oct260533570017517
946880732012213
1012141300031311
113961107387790
121441094993a93
136a0bc56cab79
142dd8dbb39103
15160c52d3b776
hexb0adde01f4f

12141300031311 has 32 divisors (see below), whose sum is σ = 18428280814080. Its totient is φ = 7038290124800.

The previous prime is 12141300031249. The next prime is 12141300031319. The reversal of 12141300031311 is 11313000314121.

It is not a de Polignac number, because 12141300031311 - 26 = 12141300031247 is a prime.

It is a super-2 number, since 2×121413000313112 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12141300031319) 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, 44926351 + ... + 45195791.

It is an arithmetic number, because the mean of its divisors is an integer number (575883775440).

Almost surely, 212141300031311 is an apocalyptic number.

12141300031311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12141300031311 is a deficient number, since it is larger than the sum of its proper divisors (6286980782769).

12141300031311 is a wasteful number, since it uses less digits than its factorization.

12141300031311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328847.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 12141300031311 its reverse (11313000314121), we get a palindrome (23454300345432).

The spelling of 12141300031311 in words is "twelve trillion, one hundred forty-one billion, three hundred million, thirty-one thousand, three hundred eleven".

Divisors: 1 3 11 23 33 69 253 759 59369 178107 269441 653059 808323 1365487 1959177 2963851 4096461 6197143 8891553 15020357 18591429 45061071 68168573 204505719 15996442729 47989328187 175960870019 367918182767 527882610057 1103754548301 4047100010437 12141300031311