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133241210000 = 245423575653
BaseRepresentation
bin111110000010111001…
…0111000010010010000
3110201220210211202212122
41330011302320102100
54140334222210000
6141113221313412
712424561412123
oct1740562702220
9421823752778
10133241210000
115156420a188
12219a6265868
13c745541882
14663db403ba
1536ec6a2085
hex1f05cb8490

133241210000 has 100 divisors (see below), whose sum is σ = 322784247852. Its totient is φ = 53264448000.

The previous prime is 133241209999. The next prime is 133241210017. The reversal of 133241210000 is 12142331.

It can be written as a sum of positive squares in 10 ways, for example, as 104817947536 + 28423262464 = 323756^2 + 168592^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23567174 + ... + 23572826.

Almost surely, 2133241210000 is an apocalyptic number.

133241210000 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 133241210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161392123926).

133241210000 is an abundant number, since it is smaller than the sum of its proper divisors (189543037852).

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

133241210000 is an equidigital number, since it uses as much as digits as its factorization.

133241210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8038 (or 8017 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 133241210000 its reverse (12142331), we get a palindrome (133253352331).

The spelling of 133241210000 in words is "one hundred thirty-three billion, two hundred forty-one million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2357 2500 4714 5000 5653 9428 10000 11306 11785 18856 22612 23570 28265 37712 45224 47140 56530 58925 90448 94280 113060 117850 141325 188560 226120 235700 282650 294625 452240 471400 565300 589250 706625 942800 1130600 1178500 1413250 1473125 2261200 2357000 2826500 2946250 3533125 4714000 5653000 5892500 7066250 11306000 11785000 13324121 14132500 23570000 26648242 28265000 53296484 56530000 66620605 106592968 133241210 213185936 266482420 333103025 532964840 666206050 1065929680 1332412100 1665515125 2664824200 3331030250 5329648400 6662060500 8327575625 13324121000 16655151250 26648242000 33310302500 66620605000 133241210000