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150038001 = 3413612
BaseRepresentation
bin10001111000101…
…10010111110001
3101110022201110000
420330112113301
5301402204001
622515500213
73501205401
oct1074262761
9343281400
10150038001
1177768853
12422b7669
13251132a9
1415cd8801
15d28aa86
hex8f165f1

150038001 has 15 divisors (see below), whose sum is σ = 224295643. Its totient is φ = 99951840.

The previous prime is 150037963. The next prime is 150038023. The reversal of 150038001 is 100830051.

It is a happy number.

The square root of 150038001 is 12249.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 25492401 + 124545600 = 5049^2 + 11160^2 .

It is not a de Polignac number, because 150038001 - 27 = 150037873 is a prime.

It is a super-2 number, since 2×1500380012 = 45022803488152002, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (150038201) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 109561 + ... + 110921.

Almost surely, 2150038001 is an apocalyptic number.

150038001 is the 12249-th square number.

150038001 is the 6125-th centered octagonal number.

It is an amenable number.

150038001 is a deficient number, since it is larger than the sum of its proper divisors (74257642).

150038001 is an frugal number, since it uses more digits than its factorization.

150038001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2734 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The cubic root of 150038001 is about 531.3741497898.

Adding to 150038001 its reverse (100830051), we get a palindrome (250868052).

The spelling of 150038001 in words is "one hundred fifty million, thirty-eight thousand, one".

Divisors: 1 3 9 27 81 1361 4083 12249 36747 110241 1852321 5556963 16670889 50012667 150038001