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141130000 = 2454111283
BaseRepresentation
bin10000110100101…
…11100100010000
3100211120010222001
420122113210100
5242112130000
622000523344
73332404504
oct1032274420
9324503861
10141130000
1172734070
123b320554
132331479b
1414a5a304
15c5cb46a
hex8697910

141130000 has 100 divisors (see below), whose sum is σ = 373043088. Its totient is φ = 51280000.

The previous prime is 141129997. The next prime is 141130007. The reversal of 141130000 is 31141.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (141130007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 109359 + ... + 110641.

Almost surely, 2141130000 is an apocalyptic number.

141130000 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 141130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186521544).

141130000 is an abundant number, since it is smaller than the sum of its proper divisors (231913088).

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

141130000 is a wasteful number, since it uses less digits than its factorization.

141130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 141130000 is about 11879.8148133715. The cubic root of 141130000 is about 520.6426964533.

Adding to 141130000 its reverse (31141), we get a palindrome (141161141).

The spelling of 141130000 in words is "one hundred forty-one million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1283 1375 2000 2200 2500 2566 2750 4400 5000 5132 5500 6415 6875 10000 10264 11000 12830 13750 14113 20528 22000 25660 27500 28226 32075 51320 55000 56452 64150 70565 102640 110000 112904 128300 141130 160375 225808 256600 282260 320750 352825 513200 564520 641500 705650 801875 1129040 1283000 1411300 1603750 1764125 2566000 2822600 3207500 3528250 5645200 6415000 7056500 8820625 12830000 14113000 17641250 28226000 35282500 70565000 141130000