Search a number
-
+
121101330222 = 232167132130497
BaseRepresentation
bin111000011001000110…
…0111010011100101110
3102120120202111222112200
41300302030322130232
53441003420031342
6131344433442330
711515001215455
oct1606214723456
9376522458480
10121101330222
11473a45a8894
121b5787103a6
13b55c412662
145c0b70db9c
15323ba0094c
hex1c3233a72e

121101330222 has 48 divisors (see below), whose sum is σ = 264165868512. Its totient is φ = 40093701120.

The previous prime is 121101330211. The next prime is 121101330223. The reversal of 121101330222 is 222033101121.

121101330222 is a `hidden beast` number, since 1 + 2 + 110 + 1 + 330 + 222 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 121101330195 and 121101330204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121101330223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3955678 + ... + 3986174.

It is an arithmetic number, because the mean of its divisors is an integer number (5503455594).

Almost surely, 2121101330222 is an apocalyptic number.

121101330222 is an abundant number, since it is smaller than the sum of its proper divisors (143064538290).

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

121101330222 is a wasteful number, since it uses less digits than its factorization.

121101330222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31993 (or 31990 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 121101330222 its reverse (222033101121), we get a palindrome (343134431343).

The spelling of 121101330222 in words is "one hundred twenty-one billion, one hundred one million, three hundred thirty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 167 334 501 1002 1321 1503 2642 3006 3963 7926 11889 23778 30497 60994 91491 182982 220607 274473 441214 548946 661821 1323642 1985463 3970926 5092999 10185998 15278997 30557994 40286537 45836991 80573074 91673982 120859611 241719222 362578833 725157666 6727851679 13455703358 20183555037 40367110074 60550665111 121101330222