Search a number
-
+
33303102112 = 257197824977
BaseRepresentation
bin11111000001000001…
…010000001010100000
310011221221122212122101
4133001001100022200
51021201043231422
623144345020144
72256165461110
oct370101201240
9104857585571
1033303102112
111313a807595
126555184654
1331a97c23a7
14187cdd1040
15cedae0c27
hex7c10502a0

33303102112 has 48 divisors (see below), whose sum is σ = 78875778240. Its totient is φ = 13521558528.

The previous prime is 33303102083. The next prime is 33303102137. The reversal of 33303102112 is 21120130333.

It is a super-2 number, since 2×333031021122 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 33303102112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3908233 + ... + 3916744.

It is an arithmetic number, because the mean of its divisors is an integer number (1643245380).

Almost surely, 233303102112 is an apocalyptic number.

33303102112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

33303102112 is an abundant number, since it is smaller than the sum of its proper divisors (45572676128).

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

33303102112 is a wasteful number, since it uses less digits than its factorization.

33303102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7825013 (or 7825005 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 33303102112 its reverse (21120130333), we get a palindrome (54423232445).

The spelling of 33303102112 in words is "thirty-three billion, three hundred three million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 532 608 1064 2128 4256 7824977 15649954 31299908 54774839 62599816 109549678 125199632 148674563 219099356 250399264 297349126 438198712 594698252 876397424 1040721941 1189396504 1752794848 2081443882 2378793008 4162887764 4757586016 8325775528 16651551056 33303102112