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20012220010002 = 23112371603730757
BaseRepresentation
bin1001000110011011101010…
…10000111100111000010010
32121212011001000120022222210
410203031311100330320102
510110340011310310002
6110321253103212550
74133556316263123
oct443156520747022
977764030508883
1020012220010002
116416153529460
1222b2603ba7156
13b221b4bba69c
144d284d18a04a
1524a86cab496c
hex12337543ce12

20012220010002 has 128 divisors (see below), whose sum is σ = 46212283772928. Its totient is φ = 5717811052800.

The previous prime is 20012220009919. The next prime is 20012220010009. The reversal of 20012220010002 is 20001002221002.

It is a self number, because there is not a number n which added to its sum of digits gives 20012220010002.

It is not an unprimeable number, because it can be changed into a prime (20012220010009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 650640408 + ... + 650671164.

It is an arithmetic number, because the mean of its divisors is an integer number (361033466976).

Almost surely, 220012220010002 is an apocalyptic number.

20012220010002 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 20012220010002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23106141886464).

20012220010002 is an abundant number, since it is smaller than the sum of its proper divisors (26200063762926).

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

20012220010002 is a wasteful number, since it uses less digits than its factorization.

20012220010002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36904.

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

Adding to 20012220010002 its reverse (20001002221002), we get a palindrome (40013222231004).

The spelling of 20012220010002 in words is "twenty trillion, twelve billion, two hundred twenty million, ten thousand, two".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 71 138 142 213 253 426 506 759 781 1518 1562 1633 2343 3266 4686 4899 6037 9798 12074 17963 18111 30757 35926 36222 53889 61514 66407 92271 107778 132814 138851 184542 199221 277702 338327 398442 416553 428627 676654 707411 833106 857254 1014981 1285881 1414822 1527361 2029962 2122233 2183747 2571762 3054722 4244466 4367494 4582083 4714897 6551241 7781521 9164166 9429794 9858421 13102482 14144691 15563042 19716842 23344563 24021217 28289382 29575263 46689126 48042434 50226181 59150526 72063651 100452362 108442631 144127302 150678543 185680009 216885262 301357086 325327893 371360018 552487991 557040027 650655786 1104975982 1114080054 1657463973 2042480099 3314927946 4084960198 4270640207 6127440297 8541280414 12254880594 12811920621 13183280639 25623841242 26366561278 39549841917 46977042277 79099683834 93954084554 140931126831 145016087029 281862253662 290032174058 303215454697 435048261087 606430909394 870096522174 909646364091 1819292728182 3335370001667 6670740003334 10006110005001 20012220010002