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132120030 = 2357629143
BaseRepresentation
bin1111101111111…
…11110111011110
3100012121101121110
413313333313132
5232310320110
621035442450
73163000410
oct767776736
9305541543
10132120030
116863a809
12382b6426
13214ab743
14137929b0
15b8eba20
hex7dffdde

132120030 has 32 divisors (see below), whose sum is σ = 362386944. Its totient is φ = 30198816.

The previous prime is 132120029. The next prime is 132120031. The reversal of 132120030 is 30021231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (132120029) and next prime (132120031).

It is a junction number, because it is equal to n+sod(n) for n = 132119988 and 132120015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132120031) 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 15 ways as a sum of consecutive naturals, for example, 314362 + ... + 314781.

It is an arithmetic number, because the mean of its divisors is an integer number (11324592).

Almost surely, 2132120030 is an apocalyptic number.

132120030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132120030 is an abundant number, since it is smaller than the sum of its proper divisors (230266914).

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

132120030 is a wasteful number, since it uses less digits than its factorization.

132120030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629160.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 132120030 is about 11494.3477413901. The cubic root of 132120030 is about 509.3186210073.

Adding to 132120030 its reverse (30021231), we get a palindrome (162141261).

The spelling of 132120030 in words is "one hundred thirty-two million, one hundred twenty thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 629143 1258286 1887429 3145715 3774858 4404001 6291430 8808002 9437145 13212003 18874290 22020005 26424006 44040010 66060015 132120030