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21002131220200 = 23521321913253219
BaseRepresentation
bin1001100011001111100001…
…00100100010011011101000
32202100210011122011010122021
410301213300210202123220
510223044331043021300
6112400125040034224
74265232250604614
oct461476044423350
982323148133567
1021002131220200
116767a54605239
12243242b302974
13b94652c7b900
1452871975a344
152664a877ed1a
hex1319f09226e8

21002131220200 has 144 divisors (see below), whose sum is σ = 53151889132800. Its totient is φ = 7714030521600.

The previous prime is 21002131220167. The next prime is 21002131220309. The reversal of 21002131220200 is 202213120012.

It is a happy 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, 4829191 + ... + 8082409.

It is an arithmetic number, because the mean of its divisors is an integer number (369110341200).

Almost surely, 221002131220200 is an apocalyptic number.

21002131220200 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 21002131220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26575944566400).

21002131220200 is an abundant number, since it is smaller than the sum of its proper divisors (32149757912600).

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

21002131220200 is a wasteful number, since it uses less digits than its factorization.

21002131220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3253452 (or 3253430 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 21002131220200 its reverse (202213120012), we get a palindrome (21204344340212).

The spelling of 21002131220200 in words is "twenty-one trillion, two billion, one hundred thirty-one million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 169 191 200 260 325 338 382 520 650 676 764 845 955 1300 1352 1528 1690 1910 2483 2600 3380 3820 4225 4775 4966 6760 7640 8450 9550 9932 12415 16900 19100 19864 24830 32279 33800 38200 49660 62075 64558 99320 124150 129116 161395 248300 258232 322790 496600 645580 806975 1291160 1613950 3227900 3253219 6455800 6506438 13012876 16266095 26025752 32532190 42291847 65064380 81330475 84583694 130128760 162660950 169167388 211459235 325321900 338334776 422918470 549794011 621364829 650643800 845836940 1057296175 1099588022 1242729658 1691673880 2114592350 2199176044 2485459316 2748970055 3106824145 4229184700 4398352088 4970918632 5497940110 6213648290 8077742777 8458369400 10995880220 12427296580 13744850275 15534120725 16155485554 21991760440 24854593160 27489700550 31068241450 32310971108 40388713885 54979401100 62136482900 64621942216 80777427770 105010656101 109958802200 124272965800 161554855540 201943569425 210021312202 323109711080 403887138850 420042624404 525053280505 807774277700 840085248808 1050106561010 1615548555400 2100213122020 2625266402525 4200426244040 5250532805050 10501065610100 21002131220200