Search a number
120131214 = 23717311541
BaseRepresentation
bin1110010100100…
…00111010001110
322101001022001020
413022100322032
5221223144324
615530455010
72656045530
oct712207216
9271038036
10120131214
11618a13a5
1234294466
131bb71878
1411d51850
15a82e679
hex7290e8e

120131214 has 64 divisors (see below), whose sum is σ = 292211712. Its totient is φ = 32140800.

The previous prime is 120131213. The next prime is 120131227. The reversal of 120131214 is 412131021.

It is a super-2 number, since 2×1201312142 = 28863017154227592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120131193 and 120131202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120131213) 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 31 ways as a sum of consecutive naturals, for example, 221784 + ... + 222324.

It is an arithmetic number, because the mean of its divisors is an integer number (4565808).

Almost surely, 2120131214 is an apocalyptic number.

120131214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120131214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146105856).

120131214 is an abundant number, since it is smaller than the sum of its proper divisors (172080498).

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

120131214 is a wasteful number, since it uses less digits than its factorization.

120131214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 120131214 is about 10960.4385861151. The cubic root of 120131214 is about 493.4221280191.

Adding to 120131214 its reverse (412131021), we get a palindrome (532262235).

The spelling of 120131214 in words is "one hundred twenty million, one hundred thirty-one thousand, two hundred fourteen".