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21202323121300 = 22524767101666637
BaseRepresentation
bin1001101001000100011001…
…11100000010010010010100
32210001220220100112101221211
410310202030330002102110
510234334324204340200
6113032113543151204
74315550221645216
oct464421474022224
983056810471854
1021202323121300
116834944727592
12246519b145504
13baa4a7c7a919
145342ab1125b6
1526b7c39adaba
hex13488cf02494

21202323121300 has 144 divisors (see below), whose sum is σ = 48161512965888. Its totient is φ = 8095627584000.

The previous prime is 21202323121297. The next prime is 21202323121327. The reversal of 21202323121300 is 312132320212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31471582 + ... + 32138218.

It is an arithmetic number, because the mean of its divisors is an integer number (334454951152).

Almost surely, 221202323121300 is an apocalyptic number.

21202323121300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21202323121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24080756482944).

21202323121300 is an abundant number, since it is smaller than the sum of its proper divisors (26959189844588).

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

21202323121300 is a wasteful number, since it uses less digits than its factorization.

21202323121300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666866 (or 666859 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 21202323121300 its reverse (312132320212), we get a palindrome (21514455441512).

The spelling of 21202323121300 in words is "twenty-one trillion, two hundred two billion, three hundred twenty-three million, one hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 47 50 67 94 100 101 134 188 202 235 268 335 404 470 505 670 940 1010 1175 1340 1675 2020 2350 2525 3149 3350 4700 4747 5050 6298 6700 6767 9494 10100 12596 13534 15745 18988 23735 27068 31490 33835 47470 62980 67670 78725 94940 118675 135340 157450 169175 237350 314900 318049 338350 474700 636098 666637 676700 1272196 1333274 1590245 2666548 3180490 3333185 6360980 6666370 7951225 13332740 15902450 16665925 31331939 31804900 33331850 44664679 62663878 66663700 67330337 89329358 125327756 134660674 156659695 178658716 223323395 269321348 313319390 336651685 446646790 626638780 673303370 783298475 893293580 1116616975 1346606740 1566596950 1683258425 2099239913 2233233950 3133193900 3164525839 3366516850 4198479826 4466467900 4511132579 6329051678 6733033700 8396959652 9022265158 10496199565 12658103356 15822629195 18044530316 20992399130 22555662895 31645258390 41984798260 45111325790 52480997825 63290516780 79113145975 90222651580 104961995650 112778314475 158226291950 209923991300 212023231213 225556628950 316452583900 424046462426 451113257900 848092924852 1060116156065 2120232312130 4240464624260 5300580780325 10601161560650 21202323121300