Search a number
-
+
133302133200 = 24352472363513
BaseRepresentation
bin111110000100101101…
…1010010000111010000
3110202002001110222210110
41330021123102013100
54141000321230300
6141123235201320
712426231302565
oct1741133220720
9422061428713
10133302133200
1151595640735
1221a02746240
13c755052ac2
146647c7c86c
153702bd8550
hex1f096d21d0

133302133200 has 120 divisors (see below), whose sum is σ = 436096695168. Its totient is φ = 34790896640.

The previous prime is 133302133189. The next prime is 133302133219. The reversal of 133302133200 is 2331203331.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1125357 + ... + 1238156.

Almost surely, 2133302133200 is an apocalyptic number.

133302133200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133302133200 is an abundant number, since it is smaller than the sum of its proper divisors (302794561968).

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

133302133200 is a wasteful number, since it uses less digits than its factorization.

133302133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2363581 (or 2363570 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 133302133200 its reverse (2331203331), we get a palindrome (135633336531).

The spelling of 133302133200 in words is "one hundred thirty-three billion, three hundred two million, one hundred thirty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 47 48 50 60 75 80 94 100 120 141 150 188 200 235 240 282 300 376 400 470 564 600 705 752 940 1128 1175 1200 1410 1880 2256 2350 2820 3525 3760 4700 5640 7050 9400 11280 14100 18800 28200 56400 2363513 4727026 7090539 9454052 11817565 14181078 18908104 23635130 28362156 35452695 37816208 47270260 56724312 59087825 70905390 94540520 111085111 113448624 118175650 141810780 177263475 189081040 222170222 236351300 283621560 333255333 354526950 444340444 472702600 555425555 567243120 666510666 709053900 888680888 945405200 1110851110 1333021332 1418107800 1666276665 1777361776 2221702220 2666042664 2777127775 2836215600 3332553330 4443404440 5332085328 5554255550 6665106660 8331383325 8886808880 11108511100 13330213320 16662766650 22217022200 26660426640 33325533300 44434044400 66651066600 133302133200