Search a number
-
+
10115531145 = 3251312696379
BaseRepresentation
bin10010110101110111…
…01100000110001001
3222002222011020001200
421122323230012021
5131204033444040
64351430534413
7505446411306
oct113273540611
928088136050
1010115531145
114320a542a5
121b63807409
13c5290b2b5
146bd6380ad
153e30ce630
hex25aeec189

10115531145 has 48 divisors (see below), whose sum is σ = 17735889600. Its totient is φ = 5333028480.

The previous prime is 10115531141. The next prime is 10115531147. The reversal of 10115531145 is 54113551101.

10115531145 is a `hidden beast` number, since 1 + 0 + 115 + 531 + 14 + 5 = 666.

10115531145 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10115531145 - 22 = 10115531141 is a prime.

It is a super-2 number, since 2×101155311452 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10115531141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1582566 + ... + 1588944.

It is an arithmetic number, because the mean of its divisors is an integer number (369497700).

Almost surely, 210115531145 is an apocalyptic number.

10115531145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10115531145 is a deficient number, since it is larger than the sum of its proper divisors (7620358455).

10115531145 is a wasteful number, since it uses less digits than its factorization.

10115531145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6790 (or 6787 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 27.

The spelling of 10115531145 in words is "ten billion, one hundred fifteen million, five hundred thirty-one thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 45 131 269 393 655 807 1179 1345 1965 2421 4035 5895 6379 12105 19137 31895 35239 57411 95685 105717 176195 287055 317151 528585 835649 1585755 1715951 2506947 4178245 5147853 7520841 8579755 12534735 15443559 25739265 37604205 77217795 224789581 674368743 1123947905 2023106229 3371843715 10115531145