Search a number
-
+
121020110020 = 2256051005501
BaseRepresentation
bin111000010110101011…
…1000101010011000100
3102120101002200120101001
41300231113011103010
53440322122010040
6131332412543044
711512663651045
oct1605527052304
9376332616331
10121020110020
1147362773957
121b555481a84
13b548645a74
145c00a0a8cc
15323480a59a
hex1c2d5c54c4

121020110020 has 12 divisors (see below), whose sum is σ = 254142231084. Its totient is φ = 48408044000.

The previous prime is 121020109957. The next prime is 121020110021. The reversal of 121020110020 is 20011020121.

It can be written as a sum of positive squares in 2 ways, for example, as 36068846724 + 84951263296 = 189918^2 + 291464^2 .

It is a super-3 number, since 3×1210201100203 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 121020109979 and 121020110006.

It is not an unprimeable number, because it can be changed into a prime (121020110021) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 3025502731 + ... + 3025502770.

It is an arithmetic number, because the mean of its divisors is an integer number (21178519257).

Almost surely, 2121020110020 is an apocalyptic number.

121020110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121020110020 is an abundant number, since it is smaller than the sum of its proper divisors (133122121064).

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

121020110020 is a wasteful number, since it uses less digits than its factorization.

121020110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6051005510 (or 6051005508 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 121020110020 its reverse (20011020121), we get a palindrome (141031130141).

It can be divided in two parts, 1210201 and 10020, that added together give a palindrome (1220221).

The spelling of 121020110020 in words is "one hundred twenty-one billion, twenty million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 6051005501 12102011002 24204022004 30255027505 60510055010 121020110020