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2101141000 = 23537300163
BaseRepresentation
bin111110100111100…
…1101111000001000
312102102200000121001
41331033031320020
513300343003000
6544254424344
7103032255340
oct17517157010
95372600531
102101141000
11989048372
124a78020b4
132763ca2ca
1415d0a5d20
15c46e046a
hex7d3cde08

2101141000 has 64 divisors (see below), whose sum is σ = 5619070080. Its totient is φ = 720388800.

The previous prime is 2101140997. The next prime is 2101141019. The reversal of 2101141000 is 1411012.

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

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 15 ways as a sum of consecutive naturals, for example, 143082 + ... + 157081.

It is an arithmetic number, because the mean of its divisors is an integer number (87797970).

Almost surely, 22101141000 is an apocalyptic number.

2101141000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101141000 is an abundant number, since it is smaller than the sum of its proper divisors (3517929080).

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

2101141000 is a wasteful number, since it uses less digits than its factorization.

2101141000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300191 (or 300177 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 2101141000 is about 45838.2045896215. The cubic root of 2101141000 is about 1280.8110501110.

Adding to 2101141000 its reverse (1411012), we get a palindrome (2102552012).

The spelling of 2101141000 in words is "two billion, one hundred one million, one hundred forty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 7000 300163 600326 1200652 1500815 2101141 2401304 3001630 4202282 6003260 7504075 8404564 10505705 12006520 15008150 16809128 21011410 30016300 37520375 42022820 52528525 60032600 75040750 84045640 105057050 150081500 210114100 262642625 300163000 420228200 525285250 1050570500 2101141000