Search a number
-
+
100806720289 = 1175797712391
BaseRepresentation
bin101110111100010001…
…1000111101100100001
3100122012101121222102221
41131320203013230201
53122423010022124
6114150541511041
710166040661462
oct1357043075441
9318171558387
10100806720289
113982a846a90
1217653b72481
1396769a6422
144c44258d69
15294ee8cce4
hex17788c7b21

100806720289 has 16 divisors (see below), whose sum is σ = 110237844096. Its totient is φ = 91420358400.

The previous prime is 100806720277. The next prime is 100806720293. The reversal of 100806720289 is 982027608001.

It is a cyclic number.

It is not a de Polignac number, because 100806720289 - 25 = 100806720257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100806720269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8129284 + ... + 8141674.

It is an arithmetic number, because the mean of its divisors is an integer number (6889865256).

Almost surely, 2100806720289 is an apocalyptic number.

It is an amenable number.

100806720289 is a deficient number, since it is larger than the sum of its proper divisors (9431123807).

100806720289 is a wasteful number, since it uses less digits than its factorization.

100806720289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14136.

The product of its (nonzero) digits is 96768, while the sum is 43.

The spelling of 100806720289 in words is "one hundred billion, eight hundred six million, seven hundred twenty thousand, two hundred eighty-nine".

Divisors: 1 11 757 977 8327 10747 12391 136301 739589 8135479 9379987 12106007 103179857 133166077 9164247299 100806720289