Search a number
-
+
21210231023120 = 245103107198712107
BaseRepresentation
bin1001101001010011001000…
…10010010010011000010000
32210002200022110122102220102
410310221210102102120100
510240002023120214440
6113035502353031532
74316250204003446
oct464514422223020
983080273572812
1021210231023120
116838232510237
1224668275555a8
13bab1683b5a79
1453481b484b96
1526bad7d65b15
hex134a64492610

21210231023120 has 160 divisors (see below), whose sum is σ = 50287359403008. Its totient is φ = 8318325855744.

The previous prime is 21210231023087. The next prime is 21210231023141. The reversal of 21210231023120 is 2132013201212.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 21210231023092 and 21210231023101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1751892107 + ... + 1751904213.

Almost surely, 221210231023120 is an apocalyptic number.

21210231023120 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 21210231023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25143679701504).

21210231023120 is an abundant number, since it is smaller than the sum of its proper divisors (29077128379888).

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

21210231023120 is a wasteful number, since it uses less digits than its factorization.

21210231023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14317 (or 14311 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 21210231023120 its reverse (2132013201212), we get a palindrome (23342244224332).

The spelling of 21210231023120 in words is "twenty-one trillion, two hundred ten billion, two hundred thirty-one million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 103 107 206 214 412 428 515 535 824 856 1030 1070 1648 1712 1987 2060 2140 3974 4120 4280 7948 8240 8560 9935 11021 12107 15896 19870 22042 24214 31792 39740 44084 48428 55105 60535 79480 88168 96856 110210 121070 158960 176336 193712 204661 212609 220420 242140 409322 425218 440840 484280 818644 850436 881680 968560 1023305 1063045 1247021 1295449 1637288 1700872 2046610 2126090 2494042 2590898 3274576 3401744 4093220 4252180 4988084 5181796 6235105 6477245 8186440 8504360 9976168 10363592 12470210 12954490 16372880 17008720 19952336 20727184 21898727 24056609 24940420 25908980 43797454 48113218 49880840 51817960 87594908 96226436 99761680 103635920 109493635 120283045 133431247 175189816 192452872 218987270 240566090 266862494 350379632 384905744 437974540 481132180 533724988 667156235 875949080 962264360 1067449976 1334312470 1751898160 1924528720 2134899952 2477830727 2574057163 2668624940 4955661454 5148114326 5337249880 9911322908 10296228652 10674499760 12389153635 12870285815 19822645816 20592457304 24778307270 25740571630 39645291632 41184914608 49556614540 51481143260 99113229080 102962286520 198226458160 205924573040 265127887789 530255775578 1060511551156 1325639438945 2121023102312 2651278877890 4242046204624 5302557755780 10605115511560 21210231023120