Search a number
-
+
120024342420 = 223517449114643
BaseRepresentation
bin110111111001000000…
…0100001111110010100
3102110210200222100000120
41233302000201332110
53431302212424140
6131045522111540
711446213035363
oct1576200417624
9373720870016
10120024342420
11469a1680a24
121b317aab5b0
13b41a25b178
145b486817da
1531c71b31d0
hex1bf2021f94

120024342420 has 48 divisors (see below), whose sum is σ = 336090350400. Its totient is φ = 32004377856.

The previous prime is 120024342409. The next prime is 120024342421. The reversal of 120024342420 is 24243420021.

It is a super-2 number, since 2×1200243424202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120024342421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 989619 + ... + 1104261.

It is an arithmetic number, because the mean of its divisors is an integer number (7001882300).

Almost surely, 2120024342420 is an apocalyptic number.

120024342420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120024342420 is an abundant number, since it is smaller than the sum of its proper divisors (216066007980).

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

120024342420 is a wasteful number, since it uses less digits than its factorization.

120024342420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132104 (or 132102 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 120024342420 its reverse (24243420021), we get a palindrome (144267762441).

The spelling of 120024342420 in words is "one hundred twenty billion, twenty-four million, three hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 17449 34898 52347 69796 87245 104694 114643 174490 209388 229286 261735 343929 348980 458572 523470 573215 687858 1046940 1146430 1375716 1719645 2292860 3439290 6878580 2000405707 4000811414 6001217121 8001622828 10002028535 12002434242 20004057070 24004868484 30006085605 40008114140 60012171210 120024342420