Search a number
-
+
1002001012012 = 2271113250250003
BaseRepresentation
bin11101001010010111110…
…10100001010100101100
310112210100011200100221001
432211023322201110230
5112404044224341022
62044151331050044
7132251343034210
oct16451372412454
93483304610831
101002001012012
11356a454a3930
12142240140924
1373646a08710
14366d60c6940
151b0e7278b27
hexe94bea152c

1002001012012 has 48 divisors (see below), whose sum is σ = 2354352037632. Its totient is φ = 360360002880.

The previous prime is 1002001012003. The next prime is 1002001012013. The reversal of 1002001012012 is 2102101002001.

1002001012012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1002001012012.

It is not an unprimeable number, because it can be changed into a prime (1002001012013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125120998 + ... + 125129005.

It is an arithmetic number, because the mean of its divisors is an integer number (49049000784).

Almost surely, 21002001012012 is an apocalyptic number.

It is an amenable number.

1002001012012 is an abundant number, since it is smaller than the sum of its proper divisors (1352351025620).

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

1002001012012 is a wasteful number, since it uses less digits than its factorization.

1002001012012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250250038 (or 250250036 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1002001012012 its reverse (2102101002001), we get a palindrome (3104102014013).

The spelling of 1002001012012 in words is "one trillion, two billion, one million, twelve thousand, twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 2002 4004 250250003 500500006 1001000012 1751750021 2752750033 3253250039 3503500042 5505500066 6506500078 7007000084 11011000132 13013000156 19269250231 22772750273 35785750429 38538500462 45545500546 71571500858 77077000924 91091001092 143143001716 250500253003 501000506006 1002001012012