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1100051064 = 233376111927
BaseRepresentation
bin100000110010001…
…0111001001111000
32211122221101101000
41001210113021320
54223103113224
6301053525000
736155164650
oct10144271170
92748841330
101100051064
11514a4a712
122684a3760
13146b9acb8
14a6153360
15668960c9
hex41917278

1100051064 has 128 divisors (see below), whose sum is σ = 3549772800. Its totient is φ = 309121920.

The previous prime is 1100051053. The next prime is 1100051081. The reversal of 1100051064 is 4601500011.

It is a super-2 number, since 2×11000510642 = 2420224686815064192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86269 + ... + 98195.

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

Almost surely, 21100051064 is an apocalyptic number.

1100051064 is a gapful number since it is divisible by the number (14) 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 1100051064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774886400).

1100051064 is an abundant number, since it is smaller than the sum of its proper divisors (2449721736).

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

1100051064 is a wasteful number, since it uses less digits than its factorization.

1100051064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12010 (or 12000 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1100051064 is about 33167.0177133851. The cubic root of 1100051064 is about 1032.2960886491.

Adding to 1100051064 its reverse (4601500011), we get a palindrome (5701551075).

The spelling of 1100051064 in words is "one billion, one hundred million, fifty-one thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 61 63 72 84 108 122 126 168 183 189 216 244 252 366 378 427 488 504 549 732 756 854 1098 1281 1464 1512 1647 1708 2196 2562 3294 3416 3843 4392 5124 6588 7686 10248 11529 11927 13176 15372 23058 23854 30744 35781 46116 47708 71562 83489 92232 95416 107343 143124 166978 214686 250467 286248 322029 333956 429372 500934 644058 667912 727547 751401 858744 1001868 1288116 1455094 1502802 2003736 2182641 2254203 2576232 2910188 3005604 4365282 4508406 5092829 5820376 6011208 6547923 8730564 9016812 10185658 13095846 15278487 17461128 18033624 19643769 20371316 26191692 30556974 39287538 40742632 45835461 52383384 61113948 78575076 91670922 122227896 137506383 157150152 183341844 275012766 366683688 550025532 1100051064