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1001005050 = 235217794969
BaseRepresentation
bin111011101010100…
…001111111111010
32120202120022210010
4323222201333322
54022224130200
6243155002350
733543255033
oct7352417772
92522508703
101001005050
1147404aa01
1223b2993b6
1312c4cc7a6
1496d2da8a
155cd2e150
hex3baa1ffa

1001005050 has 96 divisors (see below), whose sum is σ = 2662329600. Its totient is φ = 248002560.

The previous prime is 1001005043. The next prime is 1001005051. The reversal of 1001005050 is 505001001.

It is a super-2 number, since 2×10010050502 = 2004022220251005000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1001005051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 198966 + ... + 203934.

It is an arithmetic number, because the mean of its divisors is an integer number (27732600).

Almost surely, 21001005050 is an apocalyptic number.

1001005050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001005050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331164800).

1001005050 is an abundant number, since it is smaller than the sum of its proper divisors (1661324550).

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

1001005050 is a wasteful number, since it uses less digits than its factorization.

1001005050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5080 (or 5075 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 12.

The square root of 1001005050 is about 31638.6638466292. The cubic root of 1001005050 is about 1000.3349044931.

Adding to 1001005050 its reverse (505001001), we get a palindrome (1506006051).

The spelling of 1001005050 in words is "one billion, one million, five thousand, fifty".

Divisors: 1 2 3 5 6 10 15 17 25 30 34 50 51 75 79 85 102 150 158 170 237 255 395 425 474 510 790 850 1185 1275 1343 1975 2370 2550 2686 3950 4029 4969 5925 6715 8058 9938 11850 13430 14907 20145 24845 29814 33575 40290 49690 67150 74535 84473 100725 124225 149070 168946 201450 248450 253419 372675 392551 422365 506838 745350 785102 844730 1177653 1267095 1962755 2111825 2355306 2534190 3925510 4223650 5888265 6335475 6673367 9813775 11776530 12670950 13346734 19627550 20020101 29441325 33366835 40040202 58882650 66733670 100100505 166834175 200201010 333668350 500502525 1001005050