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21230321332320 = 2532519775962037
BaseRepresentation
bin1001101001111000100011…
…10000101111000001100000
32210011121011121002220002100
410310330101300233001200
510240314144230113240
6113053024110050400
74320561103551462
oct464742160570140
983147147086070
1021230321332320
116845801a11961
12246a6b37a9a00
13bb001a6c02a9
145357a5758132
1526c3b19bee30
hex134f11c2f060

21230321332320 has 144 divisors (see below), whose sum is σ = 76261549094640. Its totient is φ = 5363449592832.

The previous prime is 21230321332309. The next prime is 21230321332357. The reversal of 21230321332320 is 2323312303212.

21230321332320 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 0 + 3 + 2 + 1 + 332 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 387953659 + ... + 388008378.

It is an arithmetic number, because the mean of its divisors is an integer number (529594090935).

Almost surely, 221230321332320 is an apocalyptic number.

21230321332320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21230321332320 is an abundant number, since it is smaller than the sum of its proper divisors (55031227762320).

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

21230321332320 is a wasteful number, since it uses less digits than its factorization.

21230321332320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775962077 (or 775962066 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 21230321332320 its reverse (2323312303212), we get a palindrome (23553633635532).

The spelling of 21230321332320 in words is "twenty-one trillion, two hundred thirty billion, three hundred twenty-one million, three hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 32 36 38 40 45 48 57 60 72 76 80 90 95 96 114 120 144 152 160 171 180 190 228 240 285 288 304 342 360 380 456 480 570 608 684 720 760 855 912 1140 1368 1440 1520 1710 1824 2280 2736 3040 3420 4560 5472 6840 9120 13680 27360 775962037 1551924074 2327886111 3103848148 3879810185 4655772222 6207696296 6983658333 7759620370 9311544444 11639430555 12415392592 13967316666 14743278703 15519240740 18623088888 23278861110 24830785184 27934633332 29486557406 31038481480 34918291665 37246177776 44229836109 46557722220 55869266664 58973114812 62076962960 69836583330 73716393515 74492355552 88459672218 93115444440 111738533328 117946229624 124153925920 132689508327 139673166660 147432787030 176919344436 186230888880 221149180545 223477066656 235892459248 265379016654 279346333320 294865574060 353838688872 372461777760 442298361090 471784918496 530758033308 558692666640 589731148120 663447541635 707677377744 884596722180 1061516066616 1117385333280 1179462296240 1326895083270 1415354755488 1769193444360 2123032133232 2358924592480 2653790166540 3538386888720 4246064266464 5307580333080 7076773777440 10615160666160 21230321332320