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1010002011012 = 223228055611417
BaseRepresentation
bin11101011001010001100…
…11111010001110000100
310120112222202222020012100
432230220303322032010
5113021441003323022
62051553304152100
7132653535305001
oct16545063721604
93515882866170
101010002011012
1135a3808938a5
121438b3768630
137432050b457
1436c549708a8
151b4148c01ac
hexeb28cfa384

1010002011012 has 18 divisors (see below), whose sum is σ = 2553060639038. Its totient is φ = 336667336992.

The previous prime is 1010002010987. The next prime is 1010002011059. The reversal of 1010002011012 is 2101102000101.

It is a happy number.

1010002011012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 862435398276 + 147566612736 = 928674^2 + 384144^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1010002010985 and 1010002011003.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14027805673 + ... + 14027805744.

Almost surely, 21010002011012 is an apocalyptic number.

1010002011012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1010002011012 is an abundant number, since it is smaller than the sum of its proper divisors (1543058628026).

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

1010002011012 is a wasteful number, since it uses less digits than its factorization.

1010002011012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28055611427 (or 28055611422 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1010002011012 its reverse (2101102000101), we get a palindrome (3111104011113).

The spelling of 1010002011012 in words is "one trillion, ten billion, two million, eleven thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 28055611417 56111222834 84166834251 112222445668 168333668502 252500502753 336667337004 505001005506 1010002011012