Search a number
-
+
120022102120 = 23512372425669
BaseRepresentation
bin110111111000111011…
…1111111000001101000
3102110210112202111220111
41233301313333001220
53431301124231440
6131045402104104
711446155015034
oct1576167770150
9373715674814
10120022102120
11469a0390838
121b3171ab034
13b41995554b
145b4825b1c4
1531c6dbe4ea
hex1bf1dff068

120022102120 has 32 divisors (see below), whose sum is σ = 270268151400. Its totient is φ = 47970010368.

The previous prime is 120022102073. The next prime is 120022102121. The reversal of 120022102120 is 21201220021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 82982020356 + 37040081764 = 288066^2 + 192458^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 120022102120.

It is not an unprimeable number, because it can be changed into a prime (120022102121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1163355 + ... + 1262314.

Almost surely, 2120022102120 is an apocalyptic number.

120022102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120022102120 is an abundant number, since it is smaller than the sum of its proper divisors (150246049280).

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

120022102120 is a wasteful number, since it uses less digits than its factorization.

120022102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2426917 (or 2426913 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 120022102120 its reverse (21201220021), we get a palindrome (141223322141).

The spelling of 120022102120 in words is "one hundred twenty billion, twenty-two million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 1237 2474 4948 6185 9896 12370 24740 49480 2425669 4851338 9702676 12128345 19405352 24256690 48513380 97026760 3000552553 6001105106 12002210212 15002762765 24004420424 30005525530 60011051060 120022102120