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2120000120 = 235741184669
BaseRepresentation
bin111111001011100…
…1010001001111000
312110202011011102222
41332113022021320
513320210000440
6550210543212
7103351463240
oct17627121170
95422134388
102120000120
11998759517
124b1b97b08
1327a2a1354
141617b4b20
15c61b82b5
hex7e5ca278

2120000120 has 64 divisors (see below), whose sum is σ = 5584420800. Its totient is φ = 709125120.

The previous prime is 2120000059. The next prime is 2120000123. The reversal of 2120000120 is 210000212.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 2120000098 and 2120000107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120000123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80855 + ... + 103814.

It is an arithmetic number, because the mean of its divisors is an integer number (87256575).

Almost surely, 22120000120 is an apocalyptic number.

2120000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120000120 is an abundant number, since it is smaller than the sum of its proper divisors (3464420680).

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

2120000120 is a wasteful number, since it uses less digits than its factorization.

2120000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184728 (or 184724 counting only the distinct ones).

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

The square root of 2120000120 is about 46043.4590360021. The cubic root of 2120000120 is about 1284.6316819508.

Adding to 2120000120 its reverse (210000212), we get a palindrome (2330000332).

The spelling of 2120000120 in words is "two billion, one hundred twenty million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 41 56 70 82 140 164 205 280 287 328 410 574 820 1148 1435 1640 2296 2870 5740 11480 184669 369338 738676 923345 1292683 1477352 1846690 2585366 3693380 5170732 6463415 7386760 7571429 10341464 12926830 15142858 25853660 30285716 37857145 51707320 53000003 60571432 75714290 106000006 151428580 212000012 265000015 302857160 424000024 530000030 1060000060 2120000120