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20020021200102 = 2371131911875011
BaseRepresentation
bin1001000110101010001100…
…10000001000010011100110
32121212220011200212211222110
410203111012100020103212
510111002000411400402
6110325023141541450
74134253534303440
oct443250620102346
977786150784873
1020020021200102
116419497057000
1222b4020714886
13b22b591a20c1
144d2d8d2a1490
1524ab778dd56c
hex1235464084e6

20020021200102 has 128 divisors (see below), whose sum is σ = 50596163813376. Its totient is φ = 5172777588000.

The previous prime is 20020021200089. The next prime is 20020021200131. The reversal of 20020021200102 is 20100212002002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9739777 + ... + 11614787.

It is an arithmetic number, because the mean of its divisors is an integer number (395282529792).

Almost surely, 220020021200102 is an apocalyptic number.

20020021200102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20020021200102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25298081906688).

20020021200102 is an abundant number, since it is smaller than the sum of its proper divisors (30576142613274).

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

20020021200102 is a wasteful number, since it uses less digits than its factorization.

20020021200102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1875247 (or 1875225 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20020021200102 its reverse (20100212002002), we get a palindrome (40120233202104).

The spelling of 20020021200102 in words is "twenty trillion, twenty billion, twenty-one million, two hundred thousand, one hundred two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 121 154 191 231 242 363 382 462 573 726 847 1146 1331 1337 1694 2101 2541 2662 2674 3993 4011 4202 5082 6303 7986 8022 9317 12606 14707 18634 23111 27951 29414 44121 46222 55902 69333 88242 138666 161777 254221 323554 485331 508442 762663 970662 1525326 1779547 1875011 3559094 3750022 5338641 5625033 10677282 11250066 13125077 20625121 26250154 39375231 41250242 61875363 78750462 123750726 144375847 226876331 288751694 358127101 433127541 453752662 680628993 716254202 866255082 1074381303 1361257986 1588134317 2148762606 2495639641 2506889707 3176268634 3939398111 4764402951 4991279282 5013779414 7486918923 7520669121 7878796222 9528805902 11818194333 14973837846 15041338242 17469477487 23636388666 27575786777 34938954974 43333379221 52408432461 55151573554 82727360331 86666758442 104816864922 130000137663 165454720662 260000275326 303333654547 476667171431 606667309094 910000963641 953334342862 1430001514293 1820001927282 2860003028586 3336670200017 6673340400034 10010010600051 20020021200102