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101144225 = 52713231933
BaseRepresentation
bin1100000011101…
…01011010100001
321001022122210102
412001311122201
5201343103400
614011512145
72335466060
oct601653241
9231278712
10101144225
1152103176
1229a58655
1317c54570
14d60c1d7
158d2d9d5
hex60756a1

101144225 has 48 divisors (see below), whose sum is σ = 161156352. Its totient is φ = 61205760.

The previous prime is 101144207. The next prime is 101144233. The reversal of 101144225 is 522441101.

It is a happy number.

It is not a de Polignac number, because 101144225 - 28 = 101143969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101144197 and 101144206.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51359 + ... + 53291.

It is an arithmetic number, because the mean of its divisors is an integer number (3357424).

Almost surely, 2101144225 is an apocalyptic number.

It is an amenable number.

101144225 is a deficient number, since it is larger than the sum of its proper divisors (60012127).

101144225 is a wasteful number, since it uses less digits than its factorization.

101144225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1986 (or 1981 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 101144225 is about 10057.0485232995. The cubic root of 101144225 is about 465.9225143934.

Adding to 101144225 its reverse (522441101), we get a palindrome (623585326).

The spelling of 101144225 in words is "one hundred one million, one hundred forty-four thousand, two hundred twenty-five".

Divisors: 1 5 7 13 23 25 35 65 91 115 161 175 299 325 455 575 805 1495 1933 2093 2275 4025 7475 9665 10465 13531 25129 44459 48325 52325 67655 125645 175903 222295 311213 338275 577967 628225 879515 1111475 1556065 2889835 4045769 4397575 7780325 14449175 20228845 101144225