Search a number
-
+
1021200131313 = 32373889788549
BaseRepresentation
bin11101101110001000100…
…01010110010011110001
310121121220012012200101200
432313010101112103301
5113212404213200223
62101044410521413
7133531201616025
oct16670421262361
93547805180350
101021200131313
113640a794037a
12145ab9a36269
13753b64b263b
14375d7c94385
151b86ca46a43
hexedc44564f1

1021200131313 has 24 divisors (see below), whose sum is σ = 1515324993000. Its totient is φ = 662228918784.

The previous prime is 1021200131297. The next prime is 1021200131381. The reversal of 1021200131313 is 3131310021201.

1021200131313 is a `hidden beast` number, since 1 + 0 + 21 + 200 + 131 + 313 = 666.

1021200131313 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 4 ways, for example, as 562122063504 + 459078067809 = 749748^2 + 677553^2 .

It is not a de Polignac number, because 1021200131313 - 24 = 1021200131297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1021200131513) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 900763 + ... + 1689311.

It is an arithmetic number, because the mean of its divisors is an integer number (63138541375).

Almost surely, 21021200131313 is an apocalyptic number.

It is an amenable number.

1021200131313 is a deficient number, since it is larger than the sum of its proper divisors (494124861687).

1021200131313 is a wasteful number, since it uses less digits than its factorization.

1021200131313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792481 (or 792478 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1021200131313 its reverse (3131310021201), we get a palindrome (4152510152514).

The spelling of 1021200131313 in words is "one trillion, twenty-one billion, two hundred million, one hundred thirty-one thousand, three hundred thirteen".

Divisors: 1 3 9 37 111 333 3889 11667 35001 143893 431679 788549 1295037 2365647 7096941 29176313 87528939 262586817 3066667061 9200001183 27600003549 113466681257 340400043771 1021200131313