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124100561 = 13173491609
BaseRepresentation
bin1110110010110…
…01111111010001
322122111221222002
413121121333101
5223232204221
620151523345
73034560134
oct731317721
9278457862
10124100561
1164062652
1235689555
131c9314b0
14126a621b
15ad6580b
hex7659fd1

124100561 has 16 divisors (see below), whose sum is σ = 142002000. Its totient is φ = 107440128.

The previous prime is 124100551. The next prime is 124100567. The reversal of 124100561 is 165001421.

It can be written as a sum of positive squares in 8 ways, for example, as 18113536 + 105987025 = 4256^2 + 10295^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-124100561 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (124100567) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 76325 + ... + 77933.

It is an arithmetic number, because the mean of its divisors is an integer number (8875125).

Almost surely, 2124100561 is an apocalyptic number.

It is an amenable number.

124100561 is a deficient number, since it is larger than the sum of its proper divisors (17901439).

124100561 is a wasteful number, since it uses less digits than its factorization.

124100561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1988.

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 124100561 is about 11140.0431327711. The cubic root of 124100561 is about 498.7978600354.

Adding to 124100561 its reverse (165001421), we get a palindrome (289101982).

The spelling of 124100561 in words is "one hundred twenty-four million, one hundred thousand, five hundred sixty-one".

Divisors: 1 13 17 221 349 1609 4537 5933 20917 27353 77129 355589 561541 7300033 9546197 124100561