Search a number
-
+
120101300 = 225211412663
BaseRepresentation
bin1110010100010…
…01100110110100
322100222210000022
413022021212310
5221221220200
615530104312
72655562364
oct712114664
9270883008
10120101300
1161880980
123427b098
131bb61077
1411d449a4
15a825885
hex72899b4

120101300 has 72 divisors (see below), whose sum is σ = 291356352. Its totient is φ = 42592000.

The previous prime is 120101291. The next prime is 120101321. The reversal of 120101300 is 3101021.

It is a congruent number.

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, 43769 + ... + 46431.

It is an arithmetic number, because the mean of its divisors is an integer number (4046616).

Almost surely, 2120101300 is an apocalyptic number.

120101300 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 120101300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145678176).

120101300 is an abundant number, since it is smaller than the sum of its proper divisors (171255052).

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

120101300 is a wasteful number, since it uses less digits than its factorization.

120101300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2729 (or 2722 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 120101300 is about 10959.0738659797. The cubic root of 120101300 is about 493.3811687647.

Adding to 120101300 its reverse (3101021), we get a palindrome (123202321).

The spelling of 120101300 in words is "one hundred twenty million, one hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 41 44 50 55 82 100 110 164 205 220 275 410 451 550 820 902 1025 1100 1804 2050 2255 2663 4100 4510 5326 9020 10652 11275 13315 22550 26630 29293 45100 53260 58586 66575 109183 117172 133150 146465 218366 266300 292930 436732 545915 585860 732325 1091830 1201013 1464650 2183660 2402026 2729575 2929300 4804052 5459150 6005065 10918300 12010130 24020260 30025325 60050650 120101300