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2120112210 = 2353710118911
BaseRepresentation
bin111111001011110…
…0101100001010010
312110202100212012110
41332113211201102
513320222042320
6550213210150
7103352441106
oct17627454122
95422325173
102120112210
11998825757
124b2030956
1327a310388
14161803906
15c61db5e0
hex7e5e5852

2120112210 has 64 divisors (see below), whose sum is σ = 5277809664. Its totient is φ = 544608000.

The previous prime is 2120112199. The next prime is 2120112217. The reversal of 2120112210 is 122110212.

It is not an unprimeable number, because it can be changed into a prime (2120112217) 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 31 ways as a sum of consecutive naturals, for example, 102655 + ... + 121565.

It is an arithmetic number, because the mean of its divisors is an integer number (82465776).

Almost surely, 22120112210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120112210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2638904832).

2120112210 is an abundant number, since it is smaller than the sum of its proper divisors (3157697454).

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

2120112210 is a wasteful number, since it uses less digits than its factorization.

2120112210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19059.

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 2120112210 is about 46044.6762394959. The cubic root of 2120112210 is about 1284.6543221740.

Adding to 2120112210 its reverse (122110212), we get a palindrome (2242222422).

It can be divided in two parts, 21201 and 12210, that added together give a triangular number (33411 = T258).

The spelling of 2120112210 in words is "two billion, one hundred twenty million, one hundred twelve thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 101 111 185 202 222 303 370 505 555 606 1010 1110 1515 3030 3737 7474 11211 18685 18911 22422 37370 37822 56055 56733 94555 112110 113466 189110 283665 567330 699707 1399414 1910011 2099121 3498535 3820022 4198242 5730033 6997070 9550055 10495605 11460066 19100110 20991210 28650165 57300330 70670407 141340814 212011221 353352035 424022442 706704070 1060056105 2120112210