Search a number
-
+
1012020220013 = 11236829585749
BaseRepresentation
bin11101011101000010001…
…10110001000001101101
310120202012102120212110212
432232201012301001231
5113040104134020023
62052525441312205
7133054542636155
oct16564106610155
93522172525425
101012020220013
11360217038120
12144177635665
137458268c96a
1436da6a09765
151b4d1b7ce78
hexeba11b106d

1012020220013 has 16 divisors (see below), whose sum is σ = 1152193680000. Its totient is φ = 879887215680.

The previous prime is 1012020220007. The next prime is 1012020220069. The reversal of 1012020220013 is 3100220202101.

It is a happy number.

It is not a de Polignac number, because 1012020220013 - 224 = 1012003442797 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1012020220013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012020220313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1434863 + ... + 2020611.

It is an arithmetic number, because the mean of its divisors is an integer number (72012105000).

Almost surely, 21012020220013 is an apocalyptic number.

It is an amenable number.

1012020220013 is a deficient number, since it is larger than the sum of its proper divisors (140173459987).

1012020220013 is a wasteful number, since it uses less digits than its factorization.

1012020220013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592612.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 1012020220013 its reverse (3100220202101), we get a palindrome (4112240422114).

The spelling of 1012020220013 in words is "one trillion, twelve billion, twenty million, two hundred twenty thousand, thirteen".

Divisors: 1 11 23 253 6829 75119 157067 585749 1727737 6443239 13472227 148194497 4000079921 44000879131 92001838183 1012020220013