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2011300512 = 253134014019
BaseRepresentation
bin111011111100010…
…0000001010100000
312012011121122121120
41313320200022200
513104343104022
6531325052240
7100561525614
oct16770401240
95164548546
102011300512
11942365931
124816b7080
13260902b60
1415119b344
15bb895d5c
hex77e202a0

2011300512 has 96 divisors (see below), whose sum is σ = 5701389120. Its totient is φ = 617164800.

The previous prime is 2011300477. The next prime is 2011300531. The reversal of 2011300512 is 2150031102.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2011300491 and 2011300500.

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 15 ways as a sum of consecutive naturals, for example, 498439 + ... + 502457.

It is an arithmetic number, because the mean of its divisors is an integer number (59389470).

Almost surely, 22011300512 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 2011300512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2850694560).

2011300512 is an abundant number, since it is smaller than the sum of its proper divisors (3690088608).

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

2011300512 is a wasteful number, since it uses less digits than its factorization.

2011300512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4446 (or 4438 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 2011300512 is about 44847.5251491094. The cubic root of 2011300512 is about 1262.2895534204.

Adding to 2011300512 its reverse (2150031102), we get a palindrome (4161331614).

The spelling of 2011300512 in words is "two billion, eleven million, three hundred thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 401 416 624 802 1203 1248 1604 2406 3208 4019 4812 5213 6416 8038 9624 10426 12057 12832 15639 16076 19248 20852 24114 31278 32152 38496 41704 48228 52247 62556 64304 83408 96456 104494 125112 128608 156741 166816 192912 208988 250224 313482 385824 417976 500448 626964 835952 1253928 1611619 1671904 2507856 3223238 4834857 5015712 6446476 9669714 12892952 19339428 20951047 25785904 38678856 41902094 51571808 62853141 77357712 83804188 125706282 154715424 167608376 251412564 335216752 502825128 670433504 1005650256 2011300512