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120113311300 = 22521770654889
BaseRepresentation
bin110111111011101001…
…1111010111001000100
3102111000220101102101021
41233313103322321010
53431443001430200
6131102421040524
711451343205023
oct1576723727104
9374026342337
10120113311300
1146a37918624
121b341856144
13b43280b988
145b564008ba
1531cedd941a
hex1bf74fae44

120113311300 has 36 divisors (see below), whose sum is σ = 275978000340. Its totient is φ = 45219128320.

The previous prime is 120113311291. The next prime is 120113311337. The reversal of 120113311300 is 3113311021.

It can be written as a sum of positive squares in 6 ways, for example, as 1700242756 + 118413068544 = 41234^2 + 344112^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 35325745 + ... + 35329144.

It is an arithmetic number, because the mean of its divisors is an integer number (7666055565).

Almost surely, 2120113311300 is an apocalyptic number.

120113311300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120113311300 is an abundant number, since it is smaller than the sum of its proper divisors (155864689040).

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

120113311300 is a wasteful number, since it uses less digits than its factorization.

120113311300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70654920 (or 70654913 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 120113311300 its reverse (3113311021), we get a palindrome (123226622321).

The spelling of 120113311300 in words is "one hundred twenty billion, one hundred thirteen million, three hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 70654889 141309778 282619556 353274445 706548890 1201133113 1413097780 1766372225 2402266226 3532744450 4804532452 6005665565 7065488900 12011331130 24022662260 30028327825 60056655650 120113311300