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1001001008 = 247211311299
BaseRepresentation
bin111011101010100…
…001000000110000
32120202120010020102
4323222201000300
54022224013013
6243154531532
733543240200
oct7352410060
92522503212
101001001008
11474047967
1223b296ba8
1312c4ca9b7
1496d2c400
155cd2cd58
hex3baa1030

1001001008 has 60 divisors (see below), whose sum is σ = 2276249400. Its totient is φ = 425166336.

The previous prime is 1001000989. The next prime is 1001001011. The reversal of 1001001008 is 8001001001.

It is a self number, because there is not a number n which added to its sum of digits gives 1001001008.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82943 + ... + 94241.

It is an arithmetic number, because the mean of its divisors is an integer number (37937490).

Almost surely, 21001001008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001001008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1138124700).

1001001008 is an abundant number, since it is smaller than the sum of its proper divisors (1275248392).

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

1001001008 is a wasteful number, since it uses less digits than its factorization.

1001001008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11434 (or 11421 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 1001001008 is about 31638.5999690252. The cubic root of 1001001008 is about 1000.3335580600. Note that the first 3 decimals are identical.

Adding to 1001001008 its reverse (8001001001), we get a palindrome (9002002009).

The spelling of 1001001008 in words is "one billion, one million, one thousand, eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 113 196 226 392 452 784 791 904 1582 1808 3164 5537 6328 11074 11299 12656 22148 22598 44296 45196 79093 88592 90392 158186 180784 316372 553651 632744 1107302 1265488 1276787 2214604 2553574 4429208 5107148 8858416 8937509 10214296 17875018 20428592 35750036 62562563 71500072 125125126 143000144 250250252 500500504 1001001008