Search a number
-
+
21330312010200 = 23325259919783261
BaseRepresentation
bin1001101100110010110011…
…01010111001100111011000
32210112011021010012121210100
410312121121222321213120
510243433434333311300
6113211002101215400
74331031005363004
oct466313152714730
983464233177710
1021330312010200
116884153060126
122485b5a401560
13bb95942b788b
1453a56d46d704
1526ecb4eb7700
hex136659ab99d8

21330312010200 has 144 divisors (see below), whose sum is σ = 71753891274000. Its totient is φ = 5678586950400.

The previous prime is 21330312010177. The next prime is 21330312010307. The reversal of 21330312010200 is 201021303312.

21330312010200 is a `hidden beast` number, since 2 + 1 + 330 + 3 + 120 + 10 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8813431 + ... + 10969830.

It is an arithmetic number, because the mean of its divisors is an integer number (498290911625).

Almost surely, 221330312010200 is an apocalyptic number.

21330312010200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21330312010200 is an abundant number, since it is smaller than the sum of its proper divisors (50423579263800).

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

21330312010200 is a wasteful number, since it uses less digits than its factorization.

21330312010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19783882 (or 19783870 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 21330312010200 its reverse (201021303312), we get a palindrome (21531333313512).

The spelling of 21330312010200 in words is "twenty-one trillion, three hundred thirty billion, three hundred twelve million, ten thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 599 600 900 1198 1797 1800 2396 2995 3594 4792 5391 5990 7188 8985 10782 11980 14376 14975 17970 21564 23960 26955 29950 35940 43128 44925 53910 59900 71880 89850 107820 119800 134775 179700 215640 269550 359400 539100 1078200 19783261 39566522 59349783 79133044 98916305 118699566 158266088 178049349 197832610 237399132 296748915 356098698 395665220 474798264 494581525 593497830 712197396 791330440 890246745 989163050 1186995660 1424394792 1483744575 1780493490 1978326100 2373991320 2967489150 3560986980 3956652200 4451233725 5934978300 7121973960 8902467450 11850173339 11869956600 17804934900 23700346678 35550520017 35609869800 47400693356 59250866695 71101040034 94801386712 106651560051 118501733390 142202080068 177752600085 213303120102 237003466780 284404160136 296254333475 355505200170 426606240204 474006933560 533257800255 592508666950 711010400340 853212480408 888763000425 1066515600510 1185017333900 1422020800680 1777526000850 2133031201020 2370034667800 2666289001275 3555052001700 4266062402040 5332578002550 7110104003400 10665156005100 21330312010200