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2102142112 = 25728333161
BaseRepresentation
bin111110101001100…
…0010010010100000
312102111112212212021
41331103002102200
513301122021422
6544332111224
7103043625130
oct17523022240
95374485767
102102142112
11989671534
124a8005514
1327668ab95
1415d286ac0
15c483bdc7
hex7d4c24a0

2102142112 has 48 divisors (see below), whose sum is σ = 4746676032. Its totient is φ = 897707520.

The previous prime is 2102142103. The next prime is 2102142131. The reversal of 2102142112 is 2112412012.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 46812 + ... + 79972.

It is an arithmetic number, because the mean of its divisors is an integer number (98889084).

Almost surely, 22102142112 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 2102142112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2373338016).

2102142112 is an abundant number, since it is smaller than the sum of its proper divisors (2644533920).

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

2102142112 is a wasteful number, since it uses less digits than its factorization.

2102142112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33461 (or 33453 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 2102142112 is about 45849.1233503979. The cubic root of 2102142112 is about 1281.0144367029.

Adding to 2102142112 its reverse (2112412012), we get a palindrome (4214554124).

The spelling of 2102142112 in words is "two billion, one hundred two million, one hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 283 566 1132 1981 2264 3962 4528 7924 9056 15848 31696 33161 63392 66322 132644 232127 265288 464254 530576 928508 1061152 1857016 3714032 7428064 9384563 18769126 37538252 65691941 75076504 131383882 150153008 262767764 300306016 525535528 1051071056 2102142112