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2120110000 = 2454415171
BaseRepresentation
bin111111001011110…
…0100111110110000
312110202100202011121
41332113210332300
513320222010000
6550213152024
7103352431501
oct17627447660
95422322147
102120110000
11998824028
124b202b614
1327a30c378
14161802ba8
15c61dab1a
hex7e5e4fb0

2120110000 has 100 divisors (see below), whose sum is σ = 5259210264. Its totient is φ = 827200000.

The previous prime is 2120109991. The next prime is 2120110021. The reversal of 2120110000 is 110212.

It is a tau number, because it is divible by the number of its divisors (100).

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 19 ways as a sum of consecutive naturals, for example, 407415 + ... + 412585.

Almost surely, 22120110000 is an apocalyptic number.

2120110000 is a gapful number since it is divisible by the number (20) 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 2120110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2629605132).

2120110000 is an abundant number, since it is smaller than the sum of its proper divisors (3139100264).

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

2120110000 is an equidigital number, since it uses as much as digits as its factorization.

2120110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5240 (or 5219 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 2120110000 is about 46044.6522410584. The cubic root of 2120110000 is about 1284.6538758003.

Adding to 2120110000 its reverse (110212), we get a palindrome (2120220212).

The spelling of 2120110000 in words is "two billion, one hundred twenty million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 125 164 200 205 250 328 400 410 500 625 656 820 1000 1025 1250 1640 2000 2050 2500 3280 4100 5000 5125 5171 8200 10000 10250 10342 16400 20500 20684 25625 25855 41000 41368 51250 51710 82000 82736 102500 103420 129275 205000 206840 212011 258550 410000 413680 424022 517100 646375 848044 1034200 1060055 1292750 1696088 2068400 2120110 2585500 3231875 3392176 4240220 5171000 5300275 6463750 8480440 10342000 10600550 12927500 16960880 21201100 25855000 26501375 42402200 51710000 53002750 84804400 106005500 132506875 212011000 265013750 424022000 530027500 1060055000 2120110000