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1001102304 = 253101223463
BaseRepresentation
bin111011101010111…
…001101111100000
32120202202021012010
4323222321233200
54022240233204
6243201032520
733544141416
oct7352715740
92522667163
101001102304
11474106a84
1223b325740
1312c534b37
1496d572b6
155cd4cd89
hex3bab9be0

1001102304 has 96 divisors (see below), whose sum is σ = 2671570944. Its totient is φ = 328204800.

The previous prime is 1001102281. The next prime is 1001102309. The reversal of 1001102304 is 4032011001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 1001102304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001102309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2161977 + ... + 2162439.

It is an arithmetic number, because the mean of its divisors is an integer number (27828864).

Almost surely, 21001102304 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 1001102304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335785472).

1001102304 is an abundant number, since it is smaller than the sum of its proper divisors (1670468640).

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

1001102304 is a wasteful number, since it uses less digits than its factorization.

1001102304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1001102304 is about 31640.2007578966. The cubic root of 1001102304 is about 1000.3672997410.

Adding to 1001102304 its reverse (4032011001), we get a palindrome (5033113305).

The spelling of 1001102304 in words is "one billion, one million, one hundred two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 101 202 223 303 404 446 463 606 669 808 892 926 1212 1338 1389 1616 1784 1852 2424 2676 2778 3232 3568 3704 4848 5352 5556 7136 7408 9696 10704 11112 14816 21408 22224 22523 44448 45046 46763 67569 90092 93526 103249 135138 140289 180184 187052 206498 270276 280578 309747 360368 374104 412996 540552 561156 619494 720736 748208 825992 1081104 1122312 1238988 1496416 1651984 2162208 2244624 2477976 3303968 4489248 4955952 9911904 10428149 20856298 31284447 41712596 62568894 83425192 125137788 166850384 250275576 333700768 500551152 1001102304