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2012033303200 = 255224181104009
BaseRepresentation
bin11101010001110110100…
…001111100001010100000
321010100102001121222201101
4131101312201330022200
5230431121011200300
64140152040244144
7265236026615464
oct35216641741240
97110361558641
102012033303200
11706331389668
12285b41a70654
1311797058951b
146d550a9a4a4
153750e62ab6a
hex1d47687c2a0

2012033303200 has 72 divisors (see below), whose sum is σ = 4912126658460. Its totient is φ = 804772300800.

The previous prime is 2012033303167. The next prime is 2012033303207. The reversal of 2012033303200 is 23033302102.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 450922994064 + 1561110309136 = 671508^2 + 1249444^2 .

It is not an unprimeable number, because it can be changed into a prime (2012033303207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19292796 + ... + 19396804.

Almost surely, 22012033303200 is an apocalyptic number.

2012033303200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012033303200 is an abundant number, since it is smaller than the sum of its proper divisors (2900093355260).

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

2012033303200 is a wasteful number, since it uses less digits than its factorization.

2012033303200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128210 (or 128197 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 2012033303200 its reverse (23033302102), we get a palindrome (2035066605302).

The spelling of 2012033303200 in words is "two trillion, twelve billion, thirty-three million, three hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 24181 48362 96724 104009 120905 193448 208018 241810 386896 416036 483620 520045 604525 773792 832072 967240 1040090 1209050 1664144 1934480 2080180 2418100 2600225 3328288 3868960 4160360 4836200 5200450 8320720 9672400 10400900 16641440 19344800 20801800 41603600 83207200 2515041629 5030083258 10060166516 12575208145 20120333032 25150416290 40240666064 50300832580 62876040725 80481332128 100601665160 125752081450 201203330320 251504162900 402406660640 503008325800 1006016651600 2012033303200