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1011010112 = 2672778147
BaseRepresentation
bin111100010000101…
…100101001000000
32121110101122010222
4330100230221000
54032304310422
6244153242212
734024305230
oct7420545100
92543348128
101011010112
11479763952
12242703368
131315c3748
14983b5cc0
155db58842
hex3c42ca40

1011010112 has 56 divisors (see below), whose sum is σ = 2301386304. Its totient is φ = 431672832.

The previous prime is 1011010031. The next prime is 1011010123. The reversal of 1011010112 is 2110101101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 1011010112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120023 + ... + 128169.

It is an arithmetic number, because the mean of its divisors is an integer number (41096184).

Almost surely, 21011010112 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 1011010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150693152).

1011010112 is an abundant number, since it is smaller than the sum of its proper divisors (1290376192).

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

1011010112 is an equidigital number, since it uses as much as digits as its factorization.

1011010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8443 (or 8433 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

The square root of 1011010112 is about 31796.3852033529. The cubic root of 1011010112 is about 1003.6566499467.

Adding to 1011010112 its reverse (2110101101), we get a palindrome (3121111213).

The spelling of 1011010112 in words is "one billion, eleven million, ten thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 277 448 554 1108 1939 2216 3878 4432 7756 8147 8864 15512 16294 17728 31024 32588 57029 62048 65176 114058 124096 130352 228116 260704 456232 521408 912464 1824928 2256719 3649856 4513438 9026876 15797033 18053752 31594066 36107504 63188132 72215008 126376264 144430016 252752528 505505056 1011010112