Search a number
-
+
10010022441012 = 22321125277834447
BaseRepresentation
bin1001000110101010001111…
…0101001111000000110100
31022102221121200020000020100
42101222203311033000310
52303001011221103022
633142312452434100
72052125454603036
oct221524365170064
938387550200210
1010010022441012
11320a254786320
121158014318930
13577c306a21a9
142686b8253c56
151255b4c851ac
hex91aa3d4f034

10010022441012 has 36 divisors (see below), whose sum is σ = 27603395217216. Its totient is φ = 3033340133520.

The previous prime is 10010022440969. The next prime is 10010022441043. The reversal of 10010022441012 is 21014422001001.

10010022441012 is a `hidden beast` number, since 10 + 0 + 10 + 0 + 224 + 410 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12638916828 + ... + 12638917619.

It is an arithmetic number, because the mean of its divisors is an integer number (766760978256).

Almost surely, 210010022441012 is an apocalyptic number.

10010022441012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10010022441012 is an abundant number, since it is smaller than the sum of its proper divisors (17593372776204).

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

10010022441012 is a wasteful number, since it uses less digits than its factorization.

10010022441012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25277834468 (or 25277834463 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10010022441012 its reverse (21014422001001), we get a palindrome (31024444442013).

The spelling of 10010022441012 in words is "ten trillion, ten billion, twenty-two million, four hundred forty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 25277834447 50555668894 75833503341 101111337788 151667006682 227500510023 278056178917 303334013364 455001020046 556112357834 834168536751 910002040092 1112224715668 1668337073502 2502505610253 3336674147004 5005011220506 10010022441012