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1150106022 = 2321343311351
BaseRepresentation
bin100010010001101…
…0011100110100110
32222011010102212100
41010203103212212
54323411343042
6310042432530
740333511532
oct10443234646
92864112770
101150106022
1154022874a
12281202746
13154375410
14aca62bc2
156ae8224c
hex448d39a6

1150106022 has 48 divisors (see below), whose sum is σ = 2690015328. Its totient is φ = 353030400.

The previous prime is 1150105997. The next prime is 1150106033. The reversal of 1150106022 is 2206010511.

1150106022 is a `hidden beast` number, since 1 + 1 + 50 + 10 + 602 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1150105986 and 1150106004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95647 + ... + 106997.

It is an arithmetic number, because the mean of its divisors is an integer number (56041986).

Almost surely, 21150106022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1150106022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345007664).

1150106022 is an abundant number, since it is smaller than the sum of its proper divisors (1539909306).

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

1150106022 is a wasteful number, since it uses less digits than its factorization.

1150106022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11805 (or 11802 counting only the distinct ones).

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

The square root of 1150106022 is about 33913.2130887063. The cubic root of 1150106022 is about 1047.7217487451.

Adding to 1150106022 its reverse (2206010511), we get a palindrome (3356116533).

The spelling of 1150106022 in words is "one billion, one hundred fifty million, one hundred six thousand, twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 433 866 1299 2598 3897 5629 7794 11258 11351 16887 22702 33774 34053 50661 68106 101322 102159 147563 204318 295126 442689 885378 1328067 2656134 4914983 9829966 14744949 29489898 44234847 63894779 88469694 127789558 191684337 383368674 575053011 1150106022