Search a number
-
+
1054001310225 = 35236738292509
BaseRepresentation
bin11110101011001110101…
…11111010101000010001
310201202120011102012211220
433111213113322220101
5114232043313411400
62124111305555253
7136102064213163
oct17254727725021
93652504365756
101054001310225
11376aaa2975a6
12150332aa5b29
1378512cc8446
143902a34c933
151c63c53e7a0
hexf5675faa11

1054001310225 has 24 divisors (see below), whose sum is σ = 1747363816320. Its totient is φ = 560602317120.

The previous prime is 1054001310181. The next prime is 1054001310227. The reversal of 1054001310225 is 5220131004501.

It is a happy number.

It is not a de Polignac number, because 1054001310225 - 210 = 1054001309201 is a prime.

It is a super-2 number, since 2×10540013102252 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1054001310195 and 1054001310204.

It is not an unprimeable number, because it can be changed into a prime (1054001310227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19118730 + ... + 19173779.

It is an arithmetic number, because the mean of its divisors is an integer number (72806825680).

Almost surely, 21054001310225 is an apocalyptic number.

1054001310225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1054001310225 is a deficient number, since it is larger than the sum of its proper divisors (693362506095).

1054001310225 is a wasteful number, since it uses less digits than its factorization.

1054001310225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38292889 (or 38292884 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 1054001310225 its reverse (5220131004501), we get a palindrome (6274132314726).

The spelling of 1054001310225 in words is "one trillion, fifty-four billion, one million, three hundred ten thousand, two hundred twenty-five".

Divisors: 1 3 5 15 25 75 367 1101 1835 5505 9175 27525 38292509 114877527 191462545 574387635 957312725 2871938175 14053350803 42160052409 70266754015 210800262045 351333770075 1054001310225