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1100080016 = 24759277601
BaseRepresentation
bin100000110010001…
…1110001110010000
32211122222212002022
41001210132032100
54223110030031
6301054311012
736155345240
oct10144361620
92748885068
101100080016
11514a6a442
122684b8468
13146bab229
14a615db20
156689e97b
hex4191e390

1100080016 has 80 divisors (see below), whose sum is σ = 2490257280. Its totient is φ = 461030400.

The previous prime is 1100079989. The next prime is 1100080021. The reversal of 1100080016 is 6100800011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1100079976 and 1100080003.

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, 1830116 + ... + 1830716.

It is an arithmetic number, because the mean of its divisors is an integer number (31128216).

Almost surely, 21100080016 is an apocalyptic number.

1100080016 is a gapful number since it is divisible by the number (16) 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 1100080016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245128640).

1100080016 is an abundant number, since it is smaller than the sum of its proper divisors (1390177264).

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

1100080016 is a wasteful number, since it uses less digits than its factorization.

1100080016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

The square root of 1100080016 is about 33167.4541682053. The cubic root of 1100080016 is about 1032.3051448270.

Adding to 1100080016 its reverse (6100800011), we get a palindrome (7200880027).

The spelling of 1100080016 in words is "one billion, one hundred million, eighty thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 56 59 112 118 236 277 413 472 554 601 826 944 1108 1202 1652 1939 2216 2404 3304 3878 4207 4432 4808 6608 7756 8414 9616 15512 16343 16828 31024 32686 33656 35459 65372 67312 70918 114401 130744 141836 166477 228802 248213 261488 283672 332954 457604 496426 567344 665908 915208 992852 1165339 1331816 1830416 1985704 2330678 2663632 3971408 4661356 9322712 9822143 18645424 19644286 39288572 68755001 78577144 137510002 157154288 275020004 550040008 1100080016