Search a number
-
+
10007077109 = 311811178249
BaseRepresentation
bin10010101000111011…
…11110000011110101
3221211102002012002112
421110131332003311
5130443302431414
64332554220405
7502661515631
oct112435760365
927742065075
1010007077109
114275809167
121b33424705
13c362c7803
146ad085dc1
153d8809d3e
hex25477e0f5

10007077109 has 8 divisors (see below), whose sum is σ = 10335648000. Its totient is φ = 9678866400.

The previous prime is 10007077103. The next prime is 10007077127. The reversal of 10007077109 is 90177070001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10007077109 - 232 = 5712109813 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10007077103) 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 7 ways as a sum of consecutive naturals, for example, 32984 + ... + 145265.

It is an arithmetic number, because the mean of its divisors is an integer number (1291956000).

Almost surely, 210007077109 is an apocalyptic number.

It is an amenable number.

10007077109 is a deficient number, since it is larger than the sum of its proper divisors (328570891).

10007077109 is a wasteful number, since it uses less digits than its factorization.

10007077109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180091.

The product of its (nonzero) digits is 3087, while the sum is 32.

The spelling of 10007077109 in words is "ten billion, seven million, seventy-seven thousand, one hundred nine".

Divisors: 1 31 1811 56141 178249 5525719 322808939 10007077109