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2821120116 = 2232946317509
BaseRepresentation
bin1010100000100110…
…1110000001110100
321021121102202021020
42220021232001310
521234201320431
61143534221140
7126624060663
oct25011560164
97247382236
102821120116
1112184a3331
126689547b0
1335c613459
141ca960dda
15117a0c696
hexa826e074

2821120116 has 48 divisors (see below), whose sum is σ = 6824697600. Its totient is φ = 905933952.

The previous prime is 2821120111. The next prime is 2821120121. The reversal of 2821120116 is 6110211282.

It is an interprime number because it is at equal distance from previous prime (2821120111) and next prime (2821120121).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2821120111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152370 + ... + 169878.

It is an arithmetic number, because the mean of its divisors is an integer number (142181200).

Almost surely, 22821120116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2821120116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3412348800).

2821120116 is an abundant number, since it is smaller than the sum of its proper divisors (4003577484).

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

2821120116 is a wasteful number, since it uses less digits than its factorization.

2821120116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18008 (or 18006 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 2821120116 is about 53114.2176446194. The cubic root of 2821120116 is about 1412.9946773490.

Adding to 2821120116 its reverse (6110211282), we get a palindrome (8931331398).

The spelling of 2821120116 in words is "two billion, eight hundred twenty-one million, one hundred twenty thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 463 926 1389 1852 2778 5556 13427 17509 26854 35018 40281 52527 53708 70036 80562 105054 161124 210108 507761 1015522 1523283 2031044 3046566 6093132 8106667 16213334 24320001 32426668 48640002 97280004 235093343 470186686 705280029 940373372 1410560058 2821120116