Search a number
-
+
100035131 = 750328411
BaseRepresentation
bin1011111011001…
…10101000111011
320222020022101212
411331212220323
5201102111011
613532033335
72323166420
oct575465073
9228208355
10100035131
1151515969
122960284b
13179567b1
14d3ddd47
158bb008b
hex5f66a3b

100035131 has 8 divisors (see below), whose sum is σ = 114557184. Its totient is φ = 85570920.

The previous prime is 100035097. The next prime is 100035163. The reversal of 100035131 is 131530001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100035131 is a prime.

It is a super-2 number, since 2×1000351312 = 20014054868374322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100035431) 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 7 ways as a sum of consecutive naturals, for example, 10685 + ... + 17726.

It is an arithmetic number, because the mean of its divisors is an integer number (14319648).

Almost surely, 2100035131 is an apocalyptic number.

100035131 is a deficient number, since it is larger than the sum of its proper divisors (14522053).

100035131 is an equidigital number, since it uses as much as digits as its factorization.

100035131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28921.

The product of its (nonzero) digits is 45, while the sum is 14.

The square root of 100035131 is about 10001.7563957537. The cubic root of 100035131 is about 464.2132315499.

Adding to 100035131 its reverse (131530001), we get a palindrome (231565132).

The spelling of 100035131 in words is "one hundred million, thirty-five thousand, one hundred thirty-one".

Divisors: 1 7 503 3521 28411 198877 14290733 100035131