Search a number
-
+
120133100130320 = 2458771712273377
BaseRepresentation
bin11011010100001010101010…
…110000100101000000010000
3120202100121112022011012212202
4123110022222300211000100
5111221230042113132240
61103300215002342332
734206221132501264
oct3324125260450020
9522317468135782
10120133100130320
1135307186184112
12115827241ba9a8
13520566c673934
14219468a1680a4
15dd4e0e73b315
hex6d42aac25010

120133100130320 has 40 divisors (see below), whose sum is σ = 279627940814424. Its totient is φ = 47998447276032.

The previous prime is 120133100130311. The next prime is 120133100130353. The reversal of 120133100130320 is 23031001331021.

It can be written as a sum of positive squares in 4 ways, for example, as 64022273937664 + 56110826192656 = 8001392^2 + 7490716^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 120133100130292 and 120133100130301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 856066529 + ... + 856206848.

Almost surely, 2120133100130320 is an apocalyptic number.

120133100130320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120133100130320 is an abundant number, since it is smaller than the sum of its proper divisors (159494840684104).

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

120133100130320 is a wasteful number, since it uses less digits than its factorization.

120133100130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712274267 (or 1712274261 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 120133100130320 its reverse (23031001331021), we get a palindrome (143164101461341).

The spelling of 120133100130320 in words is "one hundred twenty trillion, one hundred thirty-three billion, one hundred million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 877 1754 3508 4385 7016 8770 14032 17540 35080 70160 1712273377 3424546754 6849093508 8561366885 13698187016 17122733770 27396374032 34245467540 68490935080 136981870160 1501663751629 3003327503258 6006655006516 7508318758145 12013310013032 15016637516290 24026620026064 30033275032580 60066550065160 120133100130320