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101144313 = 3211238257
BaseRepresentation
bin1100000011101…
…01011011111001
321001022122220200
412001311123321
5201343104223
614011512413
72335466244
oct601653371
9231278820
10101144313
1152103246
1229a58709
1317c5460a
14d60c25b
158d2da43
hex60756f9

101144313 has 6 divisors (see below), whose sum is σ = 146097354. Its totient is φ = 67429536.

The previous prime is 101144311. The next prime is 101144357. The reversal of 101144313 is 313441101.

It can be written as a sum of positive squares in only one way, i.e., 91240704 + 9903609 = 9552^2 + 3147^2 .

It is not a de Polignac number, because 101144313 - 21 = 101144311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101144311) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5619120 + ... + 5619137.

It is an arithmetic number, because the mean of its divisors is an integer number (24349559).

Almost surely, 2101144313 is an apocalyptic number.

It is an amenable number.

101144313 is a deficient number, since it is larger than the sum of its proper divisors (44953041).

101144313 is a wasteful number, since it uses less digits than its factorization.

101144313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11238263 (or 11238260 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 101144313 is about 10057.0528983396. The cubic root of 101144313 is about 465.9226495178.

Adding to 101144313 its reverse (313441101), we get a palindrome (414585414).

The spelling of 101144313 in words is "one hundred one million, one hundred forty-four thousand, three hundred thirteen".

Divisors: 1 3 9 11238257 33714771 101144313