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100466137 = 378930509
BaseRepresentation
bin1011111110011…
…11110111011001
321000001012122001
411333033313121
5201204404022
613545201001
72326643122
oct577176731
9230035561
10100466137
115178a772
1229790161
1317a77a25
14d4b3049
158c47b27
hex5fcfdd9

100466137 has 8 divisors (see below), whose sum is σ = 104344200. Its totient is φ = 96649344.

The previous prime is 100466131. The next prime is 100466143. The reversal of 100466137 is 731664001.

It is an interprime number because it is at equal distance from previous prime (100466131) and next prime (100466143).

It can be written as a sum of positive squares in 4 ways, for example, as 546121 + 99920016 = 739^2 + 9996^2 .

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-100466137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100466131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11962 + ... + 18547.

It is an arithmetic number, because the mean of its divisors is an integer number (13043025).

Almost surely, 2100466137 is an apocalyptic number.

It is an amenable number.

100466137 is a deficient number, since it is larger than the sum of its proper divisors (3878063).

100466137 is an equidigital number, since it uses as much as digits as its factorization.

100466137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30635.

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 100466137 is about 10023.2797526558. The cubic root of 100466137 is about 464.8789710838.

The spelling of 100466137 in words is "one hundred million, four hundred sixty-six thousand, one hundred thirty-seven".

Divisors: 1 37 89 3293 30509 1128833 2715301 100466137