Search a number
-
+
20021122122102 = 23217101647806967
BaseRepresentation
bin1001000110101100001111…
…10111110100000101110110
32121220000000102110111001100
410203112013313310011312
510111011224230401402
6110325324310310530
74134323033056533
oct443260767640566
977800012414040
1020021122122102
116419a01540aa2
1222b4289358446
13b22ca32b663a
144d305559dd8a
1524abde3a771c
hex123587df4176

20021122122102 has 48 divisors (see below), whose sum is σ = 46385570136672. Its totient is φ = 6218946873600.

The previous prime is 20021122122083. The next prime is 20021122122149. The reversal of 20021122122102 is 20122122112002.

It is a happy number.

20021122122102 is a `hidden beast` number, since 20 + 0 + 211 + 221 + 2 + 210 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 323872578 + ... + 323934389.

It is an arithmetic number, because the mean of its divisors is an integer number (966366044514).

Almost surely, 220021122122102 is an apocalyptic number.

20021122122102 is an abundant number, since it is smaller than the sum of its proper divisors (26364448014570).

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

20021122122102 is a wasteful number, since it uses less digits than its factorization.

20021122122102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647807093 (or 647807090 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 20021122122102 its reverse (20122122112002), we get a palindrome (40143244234104).

It can be divided in two parts, 2002112 and 2122102, that added together give a palindrome (4124214).

The spelling of 20021122122102 in words is "twenty trillion, twenty-one billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred two".

Divisors: 1 2 3 6 9 17 18 34 51 101 102 153 202 303 306 606 909 1717 1818 3434 5151 10302 15453 30906 647806967 1295613934 1943420901 3886841802 5830262703 11012718439 11660525406 22025436878 33038155317 65428503667 66076310634 99114465951 130857007334 196285511001 198228931902 392571022002 588856533003 1112284562339 1177713066006 2224569124678 3336853687017 6673707374034 10010561061051 20021122122102