Search a number
-
+
1053213110032 = 243531059717597
BaseRepresentation
bin11110101001110000110…
…01001010111100010000
310201200112020021111110011
433110320121022330100
5114223440024010112
62123501152044304
7136043413503346
oct17247031127420
93650466244404
101053213110032
11376735386086
12150152b33694
13784189173b5
1438d937b5996
151c5e3248aa7
hexf53864af10

1053213110032 has 40 divisors (see below), whose sum is σ = 2046690550296. Its totient is φ = 525035360256.

The previous prime is 1053213109979. The next prime is 1053213110039. The reversal of 1053213110032 is 2300113123501.

It can be written as a sum of positive squares in 4 ways, for example, as 75139581456 + 978073528576 = 274116^2 + 988976^2 .

It is a super-2 number, since 2×10532131100322 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1053213109985 and 1053213110012.

It is not an unprimeable number, because it can be changed into a prime (1053213110039) 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 7 ways as a sum of consecutive naturals, for example, 59843058 + ... + 59860654.

Almost surely, 21053213110032 is an apocalyptic number.

It is an amenable number.

1053213110032 is a deficient number, since it is larger than the sum of its proper divisors (993477440264).

1053213110032 is a wasteful number, since it uses less digits than its factorization.

1053213110032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28555 (or 28549 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

Adding to 1053213110032 its reverse (2300113123501), we get a palindrome (3353326233533).

The spelling of 1053213110032 in words is "one trillion, fifty-three billion, two hundred thirteen million, one hundred ten thousand, thirty-two".

Divisors: 1 2 4 8 16 353 706 1412 2824 5648 10597 17597 21194 35194 42388 70388 84776 140776 169552 281552 3740741 6211741 7481482 12423482 14962964 24846964 29925928 49693928 59851856 99387856 186475409 372950818 745901636 1491803272 2983606544 65825819377 131651638754 263303277508 526606555016 1053213110032