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20231310221200 = 2452132299279737
BaseRepresentation
bin1001001100110011110000…
…00011110001111110010000
32122122002112210110020010101
410212121320003301332100
510122432210404034300
6111010045142542144
74155443504325421
oct446317003617620
978562483406111
1020231310221200
1164a0061210901
122328b68a37954
13b39a5c271400
144dd2b47a9648
152513e1e92b6a
hex1266780f1f90

20231310221200 has 90 divisors (see below), whose sum is σ = 52632232563894. Its totient is φ = 7470022210560.

The previous prime is 20231310221179. The next prime is 20231310221281. The reversal of 20231310221200 is 212201313202.

It can be written as a sum of positive squares in 9 ways, for example, as 5375034201744 + 14856276019456 = 2318412^2 + 3854384^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 149572269 + ... + 149707468.

Almost surely, 220231310221200 is an apocalyptic number.

20231310221200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20231310221200 is an abundant number, since it is smaller than the sum of its proper divisors (32400922342694).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20231310221200 is a wasteful number, since it uses less digits than its factorization.

20231310221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299279781 (or 299279757 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 20231310221200 its reverse (212201313202), we get a palindrome (20443511534402).

The spelling of 20231310221200 in words is "twenty trillion, two hundred thirty-one billion, three hundred ten million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 169 200 208 260 325 338 400 520 650 676 845 1040 1300 1352 1690 2600 2704 3380 4225 5200 6760 8450 13520 16900 33800 67600 299279737 598559474 1197118948 1496398685 2394237896 2992797370 3890636581 4788475792 5985594740 7481993425 7781273162 11971189480 14963986850 15562546324 19453182905 23942378960 29927973700 31125092648 38906365810 50578275553 59855947400 62250185296 77812731620 97265914525 101156551106 119711894800 155625463240 194531829050 202313102212 252891377765 311250926480 389063658100 404626204424 505782755530 778127316200 809252408848 1011565511060 1264456888825 1556254632400 2023131022120 2528913777650 4046262044240 5057827555300 10115655110600 20231310221200