Search a number
-
+
10012002000220 = 2251145509100001
BaseRepresentation
bin1001000110110001100111…
…0100101001110101011100
31022110010201122010000222001
42101230121310221311130
52303014040003001340
633143241125332044
72052225512561503
oct221543164516534
938403648100861
1010012002000220
113210080131470
121158487267024
135781878405bc
1426882510b83a
1512567d95b29a
hex91b19d29d5c

10012002000220 has 24 divisors (see below), whose sum is σ = 22936586401008. Its totient is φ = 3640728000000.

The previous prime is 10012002000151. The next prime is 10012002000277. The reversal of 10012002000220 is 2200020021001.

10012002000220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10012002000197 and 10012002000206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22754549781 + ... + 22754550220.

It is an arithmetic number, because the mean of its divisors is an integer number (955691100042).

Almost surely, 210012002000220 is an apocalyptic number.

10012002000220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10012002000220 is an abundant number, since it is smaller than the sum of its proper divisors (12924584400788).

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

10012002000220 is a wasteful number, since it uses less digits than its factorization.

10012002000220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45509100021 (or 45509100019 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10012002000220 its reverse (2200020021001), we get a palindrome (12212022021221).

The spelling of 10012002000220 in words is "ten trillion, twelve billion, two million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 45509100001 91018200002 182036400004 227545500005 455091000010 500600100011 910182000020 1001200200022 2002400400044 2503000500055 5006001000110 10012002000220