Search a number
-
+
100115353 = 1367137839
BaseRepresentation
bin1011111011110…
…10001110011001
320222101101110001
411331322032121
5201112142403
613533453001
72323652332
oct575721631
9228341401
10100115353
1151570168
1229641161
1317984170
14d421289
158bc8c1d
hex5f7a399

100115353 has 16 divisors (see below), whose sum is σ = 110355840. Its totient is φ = 90262656.

The previous prime is 100115321. The next prime is 100115359. The reversal of 100115353 is 353511001.

It is a cyclic number.

It is not a de Polignac number, because 100115353 - 25 = 100115321 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100115353.

It is not an unprimeable number, because it can be changed into a prime (100115359) 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 15 ways as a sum of consecutive naturals, for example, 118908 + ... + 119746.

It is an arithmetic number, because the mean of its divisors is an integer number (6897240).

Almost surely, 2100115353 is an apocalyptic number.

100115353 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100115353 is a deficient number, since it is larger than the sum of its proper divisors (10240487).

100115353 is a wasteful number, since it uses less digits than its factorization.

100115353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056.

The product of its (nonzero) digits is 225, while the sum is 19.

The square root of 100115353 is about 10005.7659876693. The cubic root of 100115353 is about 464.3372885125.

Adding to 100115353 its reverse (353511001), we get a palindrome (453626354).

The spelling of 100115353 in words is "one hundred million, one hundred fifteen thousand, three hundred fifty-three".

Divisors: 1 13 67 137 839 871 1781 9179 10907 56213 114943 119327 730769 1494259 7701181 100115353