Search a number
-
+
120222100 = 22521202221
BaseRepresentation
bin1110010101001…
…11000110010100
322101012220201101
413022213012110
5221234101400
615532435444
72656604515
oct712470624
9271186641
10120222100
1161953709
1234318b84
131bba404b
1411d76a0c
15a84b56a
hex72a7194

120222100 has 18 divisors (see below), whose sum is σ = 260882174. Its totient is φ = 48088800.

The previous prime is 120222077. The next prime is 120222107. The reversal of 120222100 is 1222021.

It can be written as a sum of positive squares in 3 ways, for example, as 1106704 + 119115396 = 1052^2 + 10914^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120222107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 601011 + ... + 601210.

Almost surely, 2120222100 is an apocalyptic number.

120222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120222100 is an abundant number, since it is smaller than the sum of its proper divisors (140660074).

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

120222100 is a wasteful number, since it uses less digits than its factorization.

120222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202235 (or 1202228 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 120222100 is about 10964.5838954335. The cubic root of 120222100 is about 493.5465304884.

Adding to 120222100 its reverse (1222021), we get a palindrome (121444121).

The spelling of 120222100 in words is "one hundred twenty million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1202221 2404442 4808884 6011105 12022210 24044420 30055525 60111050 120222100