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133202032100 = 225223289719991
BaseRepresentation
bin111110000001101110…
…1011011010111100100
3110201211002010022220022
41330003131123113210
54140244210011400
6141105301454312
712423604406624
oct1740335332744
9421732108808
10133202032100
1151544090255
1221995111398
13c73a3a5297
146638862884
1536e9013b85
hex1f0375b5e4

133202032100 has 72 divisors (see below), whose sum is σ = 301734937728. Its totient is φ = 50944115200.

The previous prime is 133202032097. The next prime is 133202032129. The reversal of 133202032100 is 1230202331.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6653105 + ... + 6673095.

It is an arithmetic number, because the mean of its divisors is an integer number (4190763024).

Almost surely, 2133202032100 is an apocalyptic number.

133202032100 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 133202032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150867468864).

133202032100 is an abundant number, since it is smaller than the sum of its proper divisors (168532905628).

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

133202032100 is a wasteful number, since it uses less digits than its factorization.

133202032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22925 (or 22918 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 133202032100 its reverse (1230202331), we get a palindrome (134432234431).

The spelling of 133202032100 in words is "one hundred thirty-three billion, two hundred two million, thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 1150 2300 2897 5794 11588 14485 19991 28970 39982 57940 66631 72425 79964 99955 133262 144850 199910 266524 289700 333155 399820 459793 499775 666310 919586 999550 1332620 1665775 1839172 1999100 2298965 3331550 4597930 6663100 9195860 11494825 22989650 45979300 57913927 115827854 231655708 289569635 579139270 1158278540 1332020321 1447848175 2664040642 2895696350 5328081284 5791392700 6660101605 13320203210 26640406420 33300508025 66601016050 133202032100