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133320000200 = 23525691171529
BaseRepresentation
bin111110000101001111…
…1011100001011001000
3110202010022002201201012
41330022133130023020
54141014410001300
6141125114143052
712426536206142
oct1741237341310
9422108081635
10133320000200
11515a4734452
1221a08721a88
13c75896a3aa
14664a3adc92
153704567435
hex1f0a7dc2c8

133320000200 has 48 divisors (see below), whose sum is σ = 310514026500. Its totient is φ = 53234232320.

The previous prime is 133320000199. The next prime is 133320000211. The reversal of 133320000200 is 2000023331.

It can be written as a sum of positive squares in 6 ways, for example, as 16250640484 + 117069359716 = 127478^2 + 342154^2 .

It is an unprimeable number.

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, 471965 + ... + 699564.

Almost surely, 2133320000200 is an apocalyptic number.

133320000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133320000200 is an abundant number, since it is smaller than the sum of its proper divisors (177194026300).

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

133320000200 is a wasteful number, since it uses less digits than its factorization.

133320000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172114 (or 1172105 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 133320000200 its reverse (2000023331), we get a palindrome (135320023531).

The spelling of 133320000200 in words is "one hundred thirty-three billion, three hundred twenty million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 569 1138 2276 2845 4552 5690 11380 14225 22760 28450 56900 113800 1171529 2343058 4686116 5857645 9372232 11715290 23430580 29288225 46861160 58576450 117152900 234305800 666600001 1333200002 2666400004 3333000005 5332800008 6666000010 13332000020 16665000025 26664000040 33330000050 66660000100 133320000200