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20011122201012 = 22319359421580711
BaseRepresentation
bin1001000110011001100111…
…10101001001000110110100
32121212001012111211212011120
410203030303311021012310
510110330234240413022
6110320552125303540
74133520156123615
oct443146365110664
977761174755146
1020011122201012
11641573a8802a8
1222b2358404bb0
13b2206b626077
144d278745bc0c
1524a806512d5c
hex123333d491b4

20011122201012 has 96 divisors (see below), whose sum is σ = 49404189542400. Its totient is φ = 6286720003200.

The previous prime is 20011122200959. The next prime is 20011122201041. The reversal of 20011122201012 is 21010222111002.

It is a super-3 number, since 3×200111222010123 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20011122200982 and 20011122201000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34169337 + ... + 34750047.

It is an arithmetic number, because the mean of its divisors is an integer number (514626974400).

Almost surely, 220011122201012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20011122201012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24702094771200).

20011122201012 is an abundant number, since it is smaller than the sum of its proper divisors (29393067341388).

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

20011122201012 is a wasteful number, since it uses less digits than its factorization.

20011122201012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581517 (or 581515 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 20011122201012 its reverse (21010222111002), we get a palindrome (41021344312014).

The spelling of 20011122201012 in words is "twenty trillion, eleven billion, one hundred twenty-two million, two hundred one thousand, twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 359 421 718 842 1077 1263 1436 1684 2154 2526 4308 5052 6821 7999 13642 15998 20463 23997 27284 31996 40926 47994 81852 95988 151139 302278 453417 580711 604556 906834 1161422 1742133 1813668 2322844 2871641 3484266 5743282 6968532 8614923 11033509 11486564 17229846 22067018 33100527 34459692 44134036 66201054 132402108 208475249 244479331 416950498 488958662 625425747 733437993 833900996 977917324 1250851494 1466875986 2501702988 2933751972 3961029731 4645107289 7922059462 9290214578 11883089193 13935321867 15844118924 18580429156 23766178386 27870643734 47532356772 55741287468 87768079829 175536159658 263304239487 351072319316 526608478974 1053216957948 1667593516751 3335187033502 5002780550253 6670374067004 10005561100506 20011122201012