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21330203331120 = 2435670913247257
BaseRepresentation
bin1001101100110010100110…
…01100010100101000110000
32210112010222112201011010020
410312121103030110220300
510243433224023043440
6113210543220003440
74331025215542245
oct466312314245060
983463875634106
1021330203331120
1168840a7780a02
122485b29b30580
13bb9577925828
1453a55cc5d5cc
1526ecaa69b3d0
hex136653314a30

21330203331120 has 80 divisors (see below), whose sum is σ = 66133491277920. Its totient is φ = 5687205967872.

The previous prime is 21330203331103. The next prime is 21330203331127. The reversal of 21330203331120 is 2113330203312.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (21330203331127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5013469 + ... + 8233788.

It is an arithmetic number, because the mean of its divisors is an integer number (826668640974).

Almost surely, 221330203331120 is an apocalyptic number.

21330203331120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21330203331120 is an abundant number, since it is smaller than the sum of its proper divisors (44803287946800).

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

21330203331120 is a wasteful number, since it uses less digits than its factorization.

21330203331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13253982 (or 13253976 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 21330203331120 its reverse (2113330203312), we get a palindrome (23443533534432).

The spelling of 21330203331120 in words is "twenty-one trillion, three hundred thirty billion, two hundred three million, three hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 6709 13418 20127 26836 33545 40254 53672 67090 80508 100635 107344 134180 161016 201270 268360 322032 402540 536720 805080 1610160 13247257 26494514 39741771 52989028 66236285 79483542 105978056 132472570 158967084 198708855 211956112 264945140 317934168 397417710 529890280 635868336 794835420 1059780560 1589670840 3179341680 88875847213 177751694426 266627541639 355503388852 444379236065 533255083278 711006777704 888758472130 1066510166556 1333137708195 1422013555408 1777516944260 2133020333112 2666275416390 3555033888520 4266040666224 5332550832780 7110067777040 10665101665560 21330203331120