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1001113568 = 257131272707
BaseRepresentation
bin111011101010111…
…100011111100000
32120202202211122022
4323222330133200
54022241113233
6243201201012
733544216310
oct7352743740
92522684568
101001113568
11474114494
1223b330168
1312c539cc0
1496d5b440
155cd51398
hex3babc7e0

1001113568 has 96 divisors (see below), whose sum is σ = 2445778944. Its totient is φ = 392781312.

The previous prime is 1001113549. The next prime is 1001113577. The reversal of 1001113568 is 8653111001.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 368471 + ... + 371177.

It is an arithmetic number, because the mean of its divisors is an integer number (25476864).

Almost surely, 21001113568 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 1001113568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222889472).

1001113568 is an abundant number, since it is smaller than the sum of its proper divisors (1444665376).

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

1001113568 is a wasteful number, since it uses less digits than its factorization.

1001113568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2864 (or 2856 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 26.

The square root of 1001113568 is about 31640.3787587949. The cubic root of 1001113568 is about 1000.3710516370.

Adding to 1001113568 its reverse (8653111001), we get a palindrome (9654224569).

The spelling of 1001113568 in words is "one billion, one million, one hundred thirteen thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 127 182 208 224 254 364 416 508 728 889 1016 1456 1651 1778 2032 2707 2912 3302 3556 4064 5414 6604 7112 10828 11557 13208 14224 18949 21656 23114 26416 28448 35191 37898 43312 46228 52832 70382 75796 86624 92456 140764 151592 184912 246337 281528 303184 343789 369824 492674 563056 606368 687578 985348 1126112 1375156 1970696 2406523 2750312 3941392 4469257 4813046 5500624 7882784 8938514 9626092 11001248 17877028 19252184 31284799 35754056 38504368 62569598 71508112 77008736 125139196 143016224 250278392 500556784 1001113568