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10111077825 = 352134814371
BaseRepresentation
bin10010110101010101…
…01100110111000001
3222002122202222020220
421122222230313001
5131201413442300
64351151253253
7505363513002
oct113252546701
928078688226
1010111077825
114319492472
121b6221a229
13c51a0c2b4
146bcbd91a9
153e29eeda0
hex25aaacdc1

10111077825 has 12 divisors (see below), whose sum is σ = 16716982128. Its totient is φ = 5392574800.

The previous prime is 10111077799. The next prime is 10111077839. The reversal of 10111077825 is 52877011101.

10111077825 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 10111077825 - 26 = 10111077761 is a prime.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 67407111 + ... + 67407260.

It is an arithmetic number, because the mean of its divisors is an integer number (1393081844).

Almost surely, 210111077825 is an apocalyptic number.

10111077825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10111077825 is a deficient number, since it is larger than the sum of its proper divisors (6605904303).

10111077825 is a wasteful number, since it uses less digits than its factorization.

10111077825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134814384 (or 134814379 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 33.

Adding to 10111077825 its reverse (52877011101), we get a palindrome (62988088926).

The spelling of 10111077825 in words is "ten billion, one hundred eleven million, seventy-seven thousand, eight hundred twenty-five".

Divisors: 1 3 5 15 25 75 134814371 404443113 674071855 2022215565 3370359275 10111077825