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201330134300 = 225223487179743
BaseRepresentation
bin1011101110000000110…
…1100000110100011100
3201020200001011111201202
42323200031200310130
511244311003244200
6232253443255032
720355101622401
oct2734015406434
9636601144652
10201330134300
1178424680849
123302907a478
1315ca6a782a9
149a5ca082a8
1553851181d5
hex2ee0360d1c

201330134300 has 72 divisors (see below), whose sum is σ = 456820094976. Its totient is φ = 76872058560.

The previous prime is 201330134279. The next prime is 201330134329. The reversal of 201330134300 is 3431033102.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 1030229 + ... + 1209971.

Almost surely, 2201330134300 is an apocalyptic number.

201330134300 is a gapful number since it is divisible by the number (20) 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 201330134300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228410047488).

201330134300 is an abundant number, since it is smaller than the sum of its proper divisors (255489960676).

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

201330134300 is a wasteful number, since it uses less digits than its factorization.

201330134300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180267 (or 180260 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 201330134300 its reverse (3431033102), we get a palindrome (204761167402).

The spelling of 201330134300 in words is "two hundred one billion, three hundred thirty million, one hundred thirty-four thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 487 575 974 1150 1948 2300 2435 4870 9740 11201 12175 22402 24350 44804 48700 56005 112010 179743 224020 280025 359486 560050 718972 898715 1120100 1797430 3594860 4134089 4493575 8268178 8987150 16536356 17974300 20670445 41340890 82681780 87534841 103352225 175069682 206704450 350139364 413408900 437674205 875348410 1750696820 2013301343 2188371025 4026602686 4376742050 8053205372 8753484100 10066506715 20133013430 40266026860 50332533575 100665067150 201330134300