Search a number
-
+
120113220105 = 32510289259421
BaseRepresentation
bin110111111011101001…
…1100100101000001001
3102111000220012210021200
41233313103210220021
53431442441020410
6131102415054413
711451342345114
oct1576723445011
9374026183250
10120113220105
1146a3786605a
121b341811409
13b4327a9308
145b563b957b
1531cedbc3c0
hex1bf74e4a09

120113220105 has 24 divisors (see below), whose sum is σ = 208217285640. Its totient is φ = 64053911040.

The previous prime is 120113220083. The next prime is 120113220109. The reversal of 120113220105 is 501022311021.

It can be written as a sum of positive squares in 4 ways, for example, as 45425249424 + 74687970681 = 213132^2 + 273291^2 .

It is a de Polignac number, because none of the positive numbers 2k-120113220105 is a prime.

It is a super-2 number, since 2×1201132201052 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (120113220109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 333295 + ... + 592715.

It is an arithmetic number, because the mean of its divisors is an integer number (8675720235).

Almost surely, 2120113220105 is an apocalyptic number.

120113220105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

120113220105 is a deficient number, since it is larger than the sum of its proper divisors (88104065535).

120113220105 is a wasteful number, since it uses less digits than its factorization.

120113220105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269721 (or 269718 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 120113220105 its reverse (501022311021), we get a palindrome (621135531126).

The spelling of 120113220105 in words is "one hundred twenty billion, one hundred thirteen million, two hundred twenty thousand, one hundred five".

Divisors: 1 3 5 9 15 45 10289 30867 51445 92601 154335 259421 463005 778263 1297105 2334789 3891315 11673945 2669182669 8007548007 13345913345 24022644021 40037740035 120113220105