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120020221000 = 2353177060013
BaseRepresentation
bin110111111000111000…
…0110011110001001000
3102110210102012221111101
41233301300303301020
53431300134033000
6131045253511144
711446133021521
oct1576160636110
9373712187441
10120020221000
114699a316499
121b3166424b4
13b419447264
145b47ccb848
1531c6b4be6a
hex1bf1c33c48

120020221000 has 64 divisors (see below), whose sum is σ = 297367789680. Its totient is φ = 45184076800.

The previous prime is 120020220941. The next prime is 120020221031. The reversal of 120020221000 is 122020021.

It can be written as a sum of positive squares in 8 ways, for example, as 933156 + 120019287844 = 966^2 + 346438^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3513007 + ... + 3547006.

Almost surely, 2120020221000 is an apocalyptic number.

120020221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120020221000 is an abundant number, since it is smaller than the sum of its proper divisors (177347568680).

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

120020221000 is a wasteful number, since it uses less digits than its factorization.

120020221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7060051 (or 7060037 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 120020221000 its reverse (122020021), we get a palindrome (120142241021).

The spelling of 120020221000 in words is "one hundred twenty billion, twenty million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 680 850 1000 1700 2125 3400 4250 8500 17000 7060013 14120026 28240052 35300065 56480104 70600130 120020221 141200260 176500325 240040442 282400520 353000650 480080884 600101105 706001300 882501625 960161768 1200202210 1412002600 1765003250 2400404420 3000505525 3530006500 4800808840 6001011050 7060013000 12002022100 15002527625 24004044200 30005055250 60010110500 120020221000