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100432242 = 2325579569
BaseRepresentation
bin1011111110001…
…11100101110010
320222222111010200
411333013211302
5201202312432
613544340030
72326442241
oct577074562
9228874120
10100432242
1151767259
1229774616
1317a65481
14d4a4958
158c3ca7c
hex5fc7972

100432242 has 12 divisors (see below), whose sum is σ = 217603230. Its totient is φ = 33477408.

The previous prime is 100432231. The next prime is 100432261. The reversal of 100432242 is 242234001.

It can be written as a sum of positive squares in only one way, i.e., 78163281 + 22268961 = 8841^2 + 4719^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 5579569 = 100432242 / (1 + 0 + 0 + 4 + 3 + 2 + 2 + 4 + 2).

It is an unprimeable number.

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, 2789767 + ... + 2789802.

Almost surely, 2100432242 is an apocalyptic number.

100432242 is an abundant number, since it is smaller than the sum of its proper divisors (117170988).

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

100432242 is a wasteful number, since it uses less digits than its factorization.

100432242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5579577 (or 5579574 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 100432242 is about 10021.5887961939. The cubic root of 100432242 is about 464.8266853235.

Adding to 100432242 its reverse (242234001), we get a palindrome (342666243).

The spelling of 100432242 in words is "one hundred million, four hundred thirty-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 5579569 11159138 16738707 33477414 50216121 100432242