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100288318449 = 31119315746321
BaseRepresentation
bin101110101100110100…
…1100100101111110001
3100120212021011102210210
41131121221210233301
53120342302142244
6114023302414333
710150144433034
oct1353151445761
9316767142723
10100288318449
1139594161010
121752a4313a9
1395c347a487
144bd547301b
15291e6dc4b9
hex1759a64bf1

100288318449 has 16 divisors (see below), whose sum is σ = 146629750464. Its totient is φ = 60465868800.

The previous prime is 100288318439. The next prime is 100288318453. The reversal of 100288318449 is 944813882001.

It is a happy number.

It is not a de Polignac number, because 100288318449 - 216 = 100288252913 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100288318398 and 100288318407.

It is not an unprimeable number, because it can be changed into a prime (100288318439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7866792 + ... + 7879529.

It is an arithmetic number, because the mean of its divisors is an integer number (9164359404).

Almost surely, 2100288318449 is an apocalyptic number.

It is an amenable number.

100288318449 is a deficient number, since it is larger than the sum of its proper divisors (46341432015).

100288318449 is a wasteful number, since it uses less digits than its factorization.

100288318449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15746528.

The product of its (nonzero) digits is 442368, while the sum is 48.

The spelling of 100288318449 in words is "one hundred billion, two hundred eighty-eight million, three hundred eighteen thousand, four hundred forty-nine".

Divisors: 1 3 11 33 193 579 2123 6369 15746321 47238963 173209531 519628593 3039039953 9117119859 33429439483 100288318449