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1010320310133 = 3253712894721
BaseRepresentation
bin11101011001110111100…
…10000111111101110101
310120120210221220111111200
432230323302013331311
5113023113444411013
62052045034323113
7132664451640531
oct16547362077565
93516727814450
101010320310133
1135a524526722
12143982289499
1374371445424
1436c84d48bc1
151b4327e5e73
hexeb3bc87f75

1010320310133 has 72 divisors (see below), whose sum is σ = 1525391763480. Its totient is φ = 644073830400.

The previous prime is 1010320310119. The next prime is 1010320310149. The reversal of 1010320310133 is 3310130230101.

It is a happy number.

1010320310133 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 320 + 310 + 1 + 33 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 126378117009 + 883942193124 = 355497^2 + 940182^2 .

It is not a de Polignac number, because 1010320310133 - 220 = 1010319261557 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010320310113) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 214003213 + ... + 214007933.

It is an arithmetic number, because the mean of its divisors is an integer number (21185996715).

Almost surely, 21010320310133 is an apocalyptic number.

It is an amenable number.

1010320310133 is a deficient number, since it is larger than the sum of its proper divisors (515071453347).

1010320310133 is an equidigital number, since it uses as much as digits as its factorization.

1010320310133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5011 (or 4937 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1010320310133 its reverse (3310130230101), we get a palindrome (4320450540234).

The spelling of 1010320310133 in words is "one trillion, ten billion, three hundred twenty million, three hundred ten thousand, one hundred thirty-three".

Divisors: 1 3 9 53 71 89 159 213 267 477 639 801 3763 4717 4721 5041 6319 11289 14151 14163 15123 18957 33867 42453 42489 45369 56871 250213 267173 334907 335191 420169 448649 750639 801519 1004721 1005573 1260507 1345947 2251917 2404557 3014163 3016719 3781521 4037841 17765123 22268957 23778397 23798561 29831999 53295369 66806871 71335191 71395683 89495997 159886107 200420613 214005573 214187049 268487991 1261323733 1581095947 2118071929 3783971199 4743287841 6354215787 11351913597 14229863523 19062647361 112257812237 336773436711 1010320310133