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120011021020 = 225112319115541
BaseRepresentation
bin110111111000100110…
…1101101101011011100
3102110202202220112111101
41233301031231223130
53431240310133040
6131044324402444
711445661563442
oct1576115555334
9373682815441
10120011021020
1146995102400
121b313546424
13b417575897
145b469b4b92
1531c5e3109a
hex1bf136dadc

120011021020 has 72 divisors (see below), whose sum is σ = 277121817504. Its totient is φ = 43623888000.

The previous prime is 120011021003. The next prime is 120011021021. The reversal of 120011021020 is 20120110021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 120011020988 and 120011021006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120011021021) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7714450 + ... + 7729990.

It is an arithmetic number, because the mean of its divisors is an integer number (3848914132).

Almost surely, 2120011021020 is an apocalyptic number.

120011021020 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 120011021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138560908752).

120011021020 is an abundant number, since it is smaller than the sum of its proper divisors (157110796484).

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

120011021020 is a wasteful number, since it uses less digits than its factorization.

120011021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18763 (or 18750 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 120011021020 its reverse (20120110021), we get a palindrome (140131131041).

The spelling of 120011021020 in words is "one hundred twenty billion, eleven million, twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 3191 6382 12764 15541 15955 31082 31910 35101 62164 63820 70202 77705 140404 155410 170951 175505 310820 341902 351010 386111 683804 702020 772222 854755 1544444 1709510 1880461 1930555 3419020 3760922 3861110 7521844 7722220 9402305 18804610 37609220 49591331 99182662 198365324 247956655 495913310 545504641 991826620 1091009282 2182018564 2727523205 5455046410 6000551051 10910092820 12001102102 24002204204 30002755255 60005510510 120011021020