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120131300 = 225219232749
BaseRepresentation
bin1110010100100…
…00111011100100
322101001022011102
413022100323210
5221223200200
615530455232
72656046012
oct712207344
9271038142
10120131300
11618a1473
1234294518
131bb71913
1411d518b2
15a82e6d5
hex7290ee4

120131300 has 72 divisors (see below), whose sum is σ = 286440000. Its totient is φ = 43528320.

The previous prime is 120131279. The next prime is 120131383. The reversal of 120131300 is 3131021.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 42326 + ... + 45074.

Almost surely, 2120131300 is an apocalyptic number.

120131300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143220000).

120131300 is an abundant number, since it is smaller than the sum of its proper divisors (166308700).

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

120131300 is a wasteful number, since it uses less digits than its factorization.

120131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2805 (or 2798 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 120131300 is about 10960.4425093150. The cubic root of 120131300 is about 493.4222457634.

Adding to 120131300 its reverse (3131021), we get a palindrome (123262321).

The spelling of 120131300 in words is "one hundred twenty million, one hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 23 25 38 46 50 76 92 95 100 115 190 230 380 437 460 475 575 874 950 1150 1748 1900 2185 2300 2749 4370 5498 8740 10925 10996 13745 21850 27490 43700 52231 54980 63227 68725 104462 126454 137450 208924 252908 261155 274900 316135 522310 632270 1044620 1201313 1264540 1305775 1580675 2402626 2611550 3161350 4805252 5223100 6006565 6322700 12013130 24026260 30032825 60065650 120131300