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2120314000 = 24537151451
BaseRepresentation
bin111111001100001…
…0110110010010000
312110202202010000011
41332120112302100
513320300022000
6550221404304
7103354241320
oct17630266220
95422663004
102120314000
11998953322
124b2109694
1327a38118c
14161857280
15c622b2ba
hex7e616c90

2120314000 has 80 divisors (see below), whose sum is σ = 5859374976. Its totient is φ = 726960000.

The previous prime is 2120313989. The next prime is 2120314039. The reversal of 2120314000 is 4130212.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61726 + ... + 89725.

Almost surely, 22120314000 is an apocalyptic number.

2120314000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120314000 is an abundant number, since it is smaller than the sum of its proper divisors (3739060976).

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

2120314000 is a wasteful number, since it uses less digits than its factorization.

2120314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151481 (or 151465 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2120314000 is about 46046.8674287405. The cubic root of 2120314000 is about 1284.6950782199.

Adding to 2120314000 its reverse (4130212), we get a palindrome (2124444212).

The spelling of 2120314000 in words is "two billion, one hundred twenty million, three hundred fourteen thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1400 1750 2000 2800 3500 7000 14000 151451 302902 605804 757255 1060157 1211608 1514510 2120314 2423216 3029020 3786275 4240628 5300785 6058040 7572550 8481256 10601570 12116080 15145100 16962512 18931375 21203140 26503925 30290200 37862750 42406280 53007850 60580400 75725500 84812560 106015700 132519625 151451000 212031400 265039250 302902000 424062800 530078500 1060157000 2120314000