Search a number
-
+
1010210001012 = 223228061388917
BaseRepresentation
bin11101011001101010011…
…01010101000001110100
310120120112021100012211200
432230311031111001310
5113022402230013022
62052030054132500
7132661642220562
oct16546515250164
93516467305750
101010210001012
1135a478233863
12143951351130
1374354632464
1436c74432a32
151b427ca6bac
hexeb35355074

1010210001012 has 18 divisors (see below), whose sum is σ = 2553586391538. Its totient is φ = 336736666992.

The previous prime is 1010210001001. The next prime is 1010210001083. The reversal of 1010210001012 is 2101000120101.

It is a happy number.

1010210001012 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., 985405640976 + 24804360036 = 992676^2 + 157494^2 .

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

It is a super-2 number, since 2×10102100010122 (a number of 25 digits) contains 22 as substring.

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 = 1010210000985 and 1010210001003.

It is a congruent number.

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, 14030694423 + ... + 14030694494.

It is an arithmetic number, because the mean of its divisors is an integer number (141865910641).

Almost surely, 21010210001012 is an apocalyptic number.

1010210001012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1010210001012 is an abundant number, since it is smaller than the sum of its proper divisors (1543376390526).

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

1010210001012 is a wasteful number, since it uses less digits than its factorization.

1010210001012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28061388927 (or 28061388922 counting only the distinct ones).

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

Adding to 1010210001012 its reverse (2101000120101), we get a palindrome (3111210121113).

The spelling of 1010210001012 in words is "one trillion, ten billion, two hundred ten million, one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 28061388917 56122777834 84184166751 112245555668 168368333502 252552500253 336736667004 505105000506 1010210001012