Search a number
-
+
21102221221020 = 223251137673135211
BaseRepresentation
bin1001100110001001111100…
…11001100101110010011100
32202201100112002010222210200
410303010332121211302130
510231214322113033040
6112514120540103500
74305404466561312
oct463047631456234
982640462128720
1021102221221020
1167a6446822285
122449903234b90
13ba0c14310774
1452d4d27280b2
15268db5846630
hex13313e665c9c

21102221221020 has 144 divisors (see below), whose sum is σ = 64585425576672. Its totient is φ = 5576692101120.

The previous prime is 21102221221013. The next prime is 21102221221069. The reversal of 21102221221020 is 2012212220112.

It is a happy number.

21102221221020 is a `hidden beast` number, since 211 + 0 + 2 + 221 + 2 + 210 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 21102221220984 and 21102221221002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156001215 + ... + 156136425.

It is an arithmetic number, because the mean of its divisors is an integer number (448509899838).

Almost surely, 221102221221020 is an apocalyptic number.

21102221221020 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 21102221221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32292712788336).

21102221221020 is an abundant number, since it is smaller than the sum of its proper divisors (43483204355652).

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

21102221221020 is a wasteful number, since it uses less digits than its factorization.

21102221221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143012 (or 143007 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21102221221020 its reverse (2012212220112), we get a palindrome (23114433441132).

It can be divided in two parts, 21102 and 221221020, that added together give a palindrome (221242122).

The spelling of 21102221221020 in words is "twenty-one trillion, one hundred two billion, two hundred twenty-one million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 113 180 226 339 452 565 678 1017 1130 1356 1695 2034 2260 3390 4068 5085 6780 7673 10170 15346 20340 23019 30692 38365 46038 69057 76730 92076 115095 135211 138114 153460 230190 270422 276228 345285 405633 460380 540844 676055 690570 811266 867049 1216899 1352110 1381140 1622532 1734098 2028165 2433798 2601147 2704220 3468196 4056330 4335245 4867596 5202294 6084495 7803441 8112660 8670490 10404588 12168990 13005735 15278843 15606882 17340980 24337980 26011470 30557686 31213764 39017205 45836529 52022940 61115372 76394215 78034410 91673058 137509587 152788430 156068820 183346116 229182645 275019174 305576860 458365290 550038348 687547935 916730580 1037474003 1375095870 2074948006 2750191740 3112422009 4149896012 5187370015 6224844018 9337266027 10374740030 12449688036 15562110045 18674532054 20749480060 31124220090 37349064108 46686330135 62248440180 93372660270 117234562339 186745320540 234469124678 351703687017 468938249356 586172811695 703407374034 1055111061051 1172345623390 1406814748068 1758518435085 2110222122102 2344691246780 3517036870170 4220444244204 5275555305255 7034073740340 10551110610510 21102221221020