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133432244200 = 23528323933359
BaseRepresentation
bin111110001000100101…
…1100111011111101000
3110202102010022022112101
41330101023213133220
54141232123303300
6141144204023144
712432401235133
oct1742113473750
9422363268471
10133432244200
1151652028a92
1221a3a231ab4
13c775ca9c68
14665b26b21a
15370e339b6a
hex1f112e77e8

133432244200 has 96 divisors (see below), whose sum is σ = 314192390400. Its totient is φ = 52692124160.

The previous prime is 133432244149. The next prime is 133432244203. The reversal of 133432244200 is 2442234331.

133432244200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (133432244203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39722121 + ... + 39725479.

It is an arithmetic number, because the mean of its divisors is an integer number (3272837400).

Almost surely, 2133432244200 is an apocalyptic number.

133432244200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133432244200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157096195200).

133432244200 is an abundant number, since it is smaller than the sum of its proper divisors (180760146200).

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

133432244200 is a wasteful number, since it uses less digits than its factorization.

133432244200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5851 (or 5842 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 133432244200 its reverse (2442234331), we get a palindrome (135874478531).

The spelling of 133432244200 in words is "one hundred thirty-three billion, four hundred thirty-two million, two hundred forty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 83 100 166 200 332 415 664 830 1660 2075 2393 3320 3359 4150 4786 6718 8300 9572 11965 13436 16600 16795 19144 23930 26872 33590 47860 59825 67180 83975 95720 119650 134360 167950 198619 239300 278797 335900 397238 478600 557594 671800 794476 993095 1115188 1393985 1588952 1986190 2230376 2787970 3972380 4965475 5575940 6969925 7944760 8038087 9930950 11151880 13939850 16076174 19861900 27879700 32152348 39723800 40190435 55759400 64304696 80380870 160761740 200952175 321523480 401904350 667161221 803808700 1334322442 1607617400 2668644884 3335806105 5337289768 6671612210 13343224420 16679030525 26686448840 33358061050 66716122100 133432244200