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2041102000 = 24537314703
BaseRepresentation
bin111100110101000…
…1011111010110000
312021020200201120101
41321222023322300
513140010231000
6534311522144
7101403036460
oct17152137260
95236621511
102041102000
11958170163
1248b689354
13266b38682
14155117ba0
15be2d0e6a
hex79a8beb0

2041102000 has 160 divisors (see below), whose sum is σ = 5823627264. Its totient is φ = 677088000.

The previous prime is 2041101977. The next prime is 2041102001. The reversal of 2041102000 is 2011402.

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 (2041102001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 431649 + ... + 436351.

Almost surely, 22041102000 is an apocalyptic number.

2041102000 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 2041102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2911813632).

2041102000 is an abundant number, since it is smaller than the sum of its proper divisors (3782525264).

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

2041102000 is a wasteful number, since it uses less digits than its factorization.

2041102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4764 (or 4748 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2041102000 is about 45178.5568605284. The cubic root of 2041102000 is about 1268.4934705862.

Adding to 2041102000 its reverse (2011402), we get a palindrome (2043113402).

The spelling of 2041102000 in words is "two billion, forty-one million, one hundred two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 31 35 40 50 56 62 70 80 100 112 124 125 140 155 175 200 217 248 250 280 310 350 400 434 496 500 560 620 700 775 868 875 1000 1085 1240 1400 1550 1736 1750 2000 2170 2480 2800 3100 3472 3500 3875 4340 4703 5425 6200 7000 7750 8680 9406 10850 12400 14000 15500 17360 18812 21700 23515 27125 31000 32921 37624 43400 47030 54250 62000 65842 75248 86800 94060 108500 117575 131684 145793 164605 188120 217000 235150 263368 291586 329210 376240 434000 470300 526736 583172 587875 658420 728965 823025 940600 1020551 1166344 1175750 1316840 1457930 1646050 1881200 2041102 2332688 2351500 2633680 2915860 3292100 3644825 4082204 4115125 4703000 5102755 5831720 6584200 7289650 8164408 8230250 9406000 10205510 11663440 13168400 14579300 16328816 16460500 18224125 20411020 25513775 29158600 32921000 36448250 40822040 51027550 58317200 65842000 72896500 81644080 102055100 127568875 145793000 204110200 255137750 291586000 408220400 510275500 1020551000 2041102000