Search a number
-
+
11250152145 = 32510110922709
BaseRepresentation
bin10100111101000111…
…11011001011010001
31002001001010221110200
422132203323023101
5141020014332040
65100201445413
7545534500251
oct123643731321
932031127420
1011250152145
114853465901
12221b7a0869
1310a39c137b
1478a1c9961
1545ca03630
hex29e8fb2d1

11250152145 has 48 divisors (see below), whose sum is σ = 19874883600. Its totient is φ = 5885913600.

The previous prime is 11250152143. The next prime is 11250152167. The reversal of 11250152145 is 54125105211.

It is a happy number.

11250152145 is a `hidden beast` number, since 1 + 12 + 501 + 5 + 2 + 145 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 15000129 + 11235152016 = 3873^2 + 105996^2 .

It is not a de Polignac number, because 11250152145 - 21 = 11250152143 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11250152141) 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 47 ways as a sum of consecutive naturals, for example, 484051 + ... + 506759.

It is an arithmetic number, because the mean of its divisors is an integer number (414060075).

Almost surely, 211250152145 is an apocalyptic number.

11250152145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11250152145 is a deficient number, since it is larger than the sum of its proper divisors (8624731455).

11250152145 is a wasteful number, since it uses less digits than its factorization.

11250152145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22930 (or 22927 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

Adding to 11250152145 its reverse (54125105211), we get a palindrome (65375257356).

The spelling of 11250152145 in words is "eleven billion, two hundred fifty million, one hundred fifty-two thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 45 101 109 303 327 505 545 909 981 1515 1635 4545 4905 11009 22709 33027 55045 68127 99081 113545 165135 204381 340635 495405 1021905 2293609 2475281 6880827 7425843 11468045 12376405 20642481 22277529 34404135 37129215 103212405 111387645 250003381 750010143 1250016905 2250030429 3750050715 11250152145