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21019017000 = 2335311362003
BaseRepresentation
bin10011100100110101…
…001011111100101000
32000020211222200210010
4103210311023330220
5321021332021000
613353410251520
71342604460642
oct234465137450
960224880703
1021019017000
118a06761633
1240a7286ba0
131c9c842987
141035783892
15830456d50
hex4e4d4bf28

21019017000 has 128 divisors (see below), whose sum is σ = 66160748160. Its totient is φ = 5555379200.

The previous prime is 21019016987. The next prime is 21019017001. The reversal of 21019017000 is 71091012.

It is not an unprimeable number, because it can be changed into a prime (21019017001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 307999 + ... + 370001.

It is an arithmetic number, because the mean of its divisors is an integer number (516880845).

Almost surely, 221019017000 is an apocalyptic number.

21019017000 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 21019017000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33080374080).

21019017000 is an abundant number, since it is smaller than the sum of its proper divisors (45141731160).

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

21019017000 is a wasteful number, since it uses less digits than its factorization.

21019017000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62140 (or 62126 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 21.

The spelling of 21019017000 in words is "twenty-one billion, nineteen million, seventeen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 113 120 125 150 200 226 250 300 339 375 452 500 565 600 678 750 904 1000 1130 1356 1500 1695 2260 2712 2825 3000 3390 4520 5650 6780 8475 11300 13560 14125 16950 22600 28250 33900 42375 56500 62003 67800 84750 113000 124006 169500 186009 248012 310015 339000 372018 496024 620030 744036 930045 1240060 1488072 1550075 1860090 2480120 3100150 3720180 4650225 6200300 7006339 7440360 7750375 9300450 12400600 14012678 15500750 18600900 21019017 23251125 28025356 31001500 35031695 37201800 42038034 46502250 56050712 62003000 70063390 84076068 93004500 105095085 140126780 168152136 175158475 186009000 210190170 280253560 350316950 420380340 525475425 700633900 840760680 875792375 1050950850 1401267800 1751584750 2101901700 2627377125 3503169500 4203803400 5254754250 7006339000 10509508500 21019017000