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21120220022000 = 2453117873121937
BaseRepresentation
bin1001100110101011011110…
…01101100100010011110000
32202210001222110001211002012
410303111233031210103300
510232013202311201000
6112530254540542052
74306612512060611
oct463255715442360
982701873054065
1021120220022000
116803042665910
1224512a6b51928
13ba2822211368
1453031cd21c08
152695baa64735
hex13356f3644f0

21120220022000 has 160 divisors (see below), whose sum is σ = 55718833569984. Its totient is φ = 7679041536000.

The previous prime is 21120220021991. The next prime is 21120220022017. The reversal of 21120220022000 is 22002202112.

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 31 ways as a sum of consecutive naturals, for example, 173145032 + ... + 173266968.

Almost surely, 221120220022000 is an apocalyptic number.

21120220022000 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 21120220022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27859416784992).

21120220022000 is an abundant number, since it is smaller than the sum of its proper divisors (34598613547984).

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

21120220022000 is a wasteful number, since it uses less digits than its factorization.

21120220022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129844 (or 129828 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 21120220022000 its reverse (22002202112), we get a palindrome (21142222224112).

It can be divided in two parts, 211202 and 20022000, that added together give a palindrome (20233202).

The spelling of 21120220022000 in words is "twenty-one trillion, one hundred twenty billion, two hundred twenty million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 7873 11000 15746 22000 31492 39365 62984 78730 86603 121937 125968 157460 173206 196825 243874 314920 346412 393650 433015 487748 609685 629840 692824 787300 866030 975496 984125 1219370 1341307 1385648 1574600 1732060 1950992 1968250 2165075 2438740 2682614 3048425 3149200 3464120 3936500 4330150 4877480 5365228 6096850 6706535 6928240 7873000 8660300 9754960 10730456 10825375 12193700 13413070 15242125 15746000 17320600 21460912 21650750 24387400 26826140 30484250 33532675 34641200 43301500 48774800 53652280 60968500 67065350 86603000 107304560 121937000 134130700 167663375 173206000 243874000 268261400 335326750 536522800 670653500 960010001 1341307000 1920020002 2682614000 3840040004 4800050005 7680080008 9600100010 10560110011 15360160016 19200200020 21120220022 24000250025 38400400040 42240440044 48000500050 52800550055 76800800080 84480880088 96001000100 105601100110 120001250125 168961760176 192002000200 211202200220 240002500250 264002750275 384004000400 422404400440 480005000500 528005500550 844808800880 960010001000 1056011001100 1320013751375 1920020002000 2112022002200 2640027502750 4224044004400 5280055005500 10560110011000 21120220022000