Search a number
-
+
100130128 = 2472127717
BaseRepresentation
bin1011111011111…
…01110101010000
320222102010201021
411331331311100
5201113131003
613534045224
72324043400
oct575756520
9228363637
10100130128
115158027a
1229649814
131798aac7
14d426800
158bcd2bd
hex5f7dd50

100130128 has 30 divisors (see below), whose sum is σ = 225677706. Its totient is φ = 42912576.

The previous prime is 100130123. The next prime is 100130141. The reversal of 100130128 is 821031001.

It can be written as a sum of positive squares in only one way, i.e., 98247744 + 1882384 = 9912^2 + 1372^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100130123) 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 5 ways as a sum of consecutive naturals, for example, 63075 + ... + 64642.

Almost surely, 2100130128 is an apocalyptic number.

It is an amenable number.

100130128 is an abundant number, since it is smaller than the sum of its proper divisors (125547578).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100130128 is a wasteful number, since it uses less digits than its factorization.

100130128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127739 (or 127726 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 100130128 is about 10006.5042847140. The cubic root of 100130128 is about 464.3601296512.

Adding to 100130128 its reverse (821031001), we get a palindrome (921161129).

The spelling of 100130128 in words is "one hundred million, one hundred thirty thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 127717 255434 510868 894019 1021736 1788038 2043472 3576076 6258133 7152152 12516266 14304304 25032532 50065064 100130128