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2141341000 = 235313211621
BaseRepresentation
bin111111110100010…
…0100010101001000
312112020022101121221
41333220210111020
513341140403000
6552252211424
7104031045451
oct17750442510
95466271557
102141341000
119a9805207
124b9169b74
13281833ba6
1416456c128
15c7ed161a
hex7fa24548

2141341000 has 64 divisors (see below), whose sum is σ = 5017624560. Its totient is φ = 855360000.

The previous prime is 2141340941. The next prime is 2141341001. The reversal of 2141341000 is 1431412.

It can be written as a sum of positive squares in 8 ways, for example, as 635745796 + 1505595204 = 25214^2 + 38802^2 .

It is not an unprimeable number, because it can be changed into a prime (2141341001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1320190 + ... + 1321810.

Almost surely, 22141341000 is an apocalyptic number.

2141341000 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 2141341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2508812280).

2141341000 is an abundant number, since it is smaller than the sum of its proper divisors (2876283560).

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

2141341000 is a wasteful number, since it uses less digits than its factorization.

2141341000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2963 (or 2949 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2141341000 is about 46274.6258763915. The cubic root of 2141341000 is about 1288.9278594484.

Adding to 2141341000 its reverse (1431412), we get a palindrome (2142772412).

The spelling of 2141341000 in words is "two billion, one hundred forty-one million, three hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1321 1621 2642 3242 5284 6484 6605 8105 10568 12968 13210 16210 26420 32420 33025 40525 52840 64840 66050 81050 132100 162100 165125 202625 264200 324200 330250 405250 660500 810500 1321000 1621000 2141341 4282682 8565364 10706705 17130728 21413410 42826820 53533525 85653640 107067050 214134100 267667625 428268200 535335250 1070670500 2141341000