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1243312201131 = 3711133711189821
BaseRepresentation
bin10010000101111011001…
…011101001110110101011
311101212012120020220020220
4102011323023221312223
5130332300410414011
62351100355221123
7155553302223630
oct22057313516653
94355176226226
101243312201131
1143a316362940
12180b668a77a3
1390322931ca0
144426896a187
152251c385506
hex1217b2e9dab

1243312201131 has 64 divisors (see below), whose sum is σ = 2285946356736. Its totient is φ = 580080268800.

The previous prime is 1243312201121. The next prime is 1243312201211. The reversal of 1243312201131 is 1311022133421.

It is not a de Polignac number, because 1243312201131 - 26 = 1243312201067 is a prime.

It is a super-2 number, since 2×12433122011312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1243312201121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5483800 + ... + 5706021.

It is an arithmetic number, because the mean of its divisors is an integer number (35717911824).

Almost surely, 21243312201131 is an apocalyptic number.

1243312201131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1243312201131 is a deficient number, since it is larger than the sum of its proper divisors (1042634155605).

1243312201131 is a wasteful number, since it uses less digits than its factorization.

1243312201131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11189892.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 1243312201131 its reverse (1311022133421), we get a palindrome (2554334334552).

The spelling of 1243312201131 in words is "one trillion, two hundred forty-three billion, three hundred twelve million, two hundred one thousand, one hundred thirty-one".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 143 231 259 273 407 429 481 777 1001 1221 1443 2849 3003 3367 5291 8547 10101 15873 37037 111111 11189821 33569463 78328747 123088031 145467673 234986241 369264093 414023377 436403019 861616217 1018273711 1242070131 1600144403 2584848651 2898163639 3054821133 4554257147 4800433209 5382303901 8694490917 11201010821 13662771441 16146911703 31879800029 33603032463 37676127307 59205342911 95639400087 113028381921 177616028733 414437400377 1243312201131