Search a number
-
+
100242045 = 3252227601
BaseRepresentation
bin1011111100110…
…01001001111101
320222121211020100
411332121021331
5201130221140
613540311313
72325020601
oct576311175
9228554210
10100242045
1151647372
12296a2539
13179c9a27
14d455501
158c01530
hex5f9927d

100242045 has 12 divisors (see below), whose sum is σ = 173752956. Its totient is φ = 53462400.

The previous prime is 100242041. The next prime is 100242049. The reversal of 100242045 is 540242001.

It is an interprime number because it is at equal distance from previous prime (100242041) and next prime (100242049).

It can be written as a sum of positive squares in 2 ways, for example, as 46703556 + 53538489 = 6834^2 + 7317^2 .

It is not a de Polignac number, because 100242045 - 22 = 100242041 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100242041) 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 11 ways as a sum of consecutive naturals, for example, 1113756 + ... + 1113845.

It is an arithmetic number, because the mean of its divisors is an integer number (14479413).

Almost surely, 2100242045 is an apocalyptic number.

100242045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100242045 is a deficient number, since it is larger than the sum of its proper divisors (73510911).

100242045 is a wasteful number, since it uses less digits than its factorization.

100242045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2227612 (or 2227609 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 100242045 is about 10012.0949356266. The cubic root of 100242045 is about 464.5330727443.

Adding to 100242045 its reverse (540242001), we get a palindrome (640484046).

The spelling of 100242045 in words is "one hundred million, two hundred forty-two thousand, forty-five".

Divisors: 1 3 5 9 15 45 2227601 6682803 11138005 20048409 33414015 100242045