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10111665027 = 35965986689
BaseRepresentation
bin10010110101011001…
…11100001110000011
3222002200212210202010
421122230330032003
5131202041240102
64351212024003
7505401506652
oct113254741603
928080783663
1010111665027
114319853662
121b62462003
13c51b86659
146bcd0d199
153e2ab8d6c
hex25ab3c383

10111665027 has 16 divisors (see below), whose sum is σ = 13731696000. Its totient is φ = 6616721664.

The previous prime is 10111665001. The next prime is 10111665029. The reversal of 10111665027 is 72056611101.

10111665027 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10111665027 - 212 = 10111660931 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10111664985 and 10111665003.

It is not an unprimeable number, because it can be changed into a prime (10111665029) 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, 73299 + ... + 159987.

It is an arithmetic number, because the mean of its divisors is an integer number (858231000).

Almost surely, 210111665027 is an apocalyptic number.

10111665027 is a deficient number, since it is larger than the sum of its proper divisors (3620030973).

10111665027 is an equidigital number, since it uses as much as digits as its factorization.

10111665027 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87410.

The product of its (nonzero) digits is 2520, while the sum is 30.

The spelling of 10111665027 in words is "ten billion, one hundred eleven million, six hundred sixty-five thousand, twenty-seven".

Divisors: 1 3 59 177 659 1977 38881 86689 116643 260067 5114651 15343953 57128051 171384153 3370555009 10111665027