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2320100112 = 2431114832963
BaseRepresentation
bin1000101001001001…
…1110101100010000
312222200200022000210
42022102132230100
514222421200422
61022115444120
7111331345161
oct21222365420
95880608023
102320100112
11a906aa610
12548bb6640
132ac892005
141801c1768
15d8a4210c
hex8a49eb10

2320100112 has 80 divisors (see below), whose sum is σ = 6545081088. Its totient is φ = 702349440.

The previous prime is 2320100093. The next prime is 2320100113. The reversal of 2320100112 is 2110010232.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2320100113) 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, 781543 + ... + 784505.

Almost surely, 22320100112 is an apocalyptic number.

2320100112 is a gapful number since it is divisible by the number (22) 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 2320100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3272540544).

2320100112 is an abundant number, since it is smaller than the sum of its proper divisors (4224980976).

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

2320100112 is a wasteful number, since it uses less digits than its factorization.

2320100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4468 (or 4462 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2320100112 is about 48167.4175350932. The cubic root of 2320100112 is about 1323.8402310536.

Adding to 2320100112 its reverse (2110010232), we get a palindrome (4430110344).

The spelling of 2320100112 in words is "two billion, three hundred twenty million, one hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 1483 2963 2966 4449 5926 5932 8889 8898 11852 11864 16313 17778 17796 23704 23728 32593 32626 35556 35592 47408 48939 65186 65252 71112 71184 97779 97878 130372 130504 142224 195558 195756 260744 261008 391116 391512 521488 782232 783024 1564464 4394129 8788258 13182387 17576516 26364774 35153032 48335419 52729548 70306064 96670838 105459096 145006257 193341676 210918192 290012514 386683352 580025028 773366704 1160050056 2320100112