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10111004991 = 3271103153623
BaseRepresentation
bin10010110101010100…
…11011000100111111
3222002122122021100100
421122222123010333
5131201404124431
64351145532143
7505363060443
oct113252330477
928078567310
1010111004991
11431944277a
121b621a4053
13c519b50b9
146bcbba823
153e29d84e6
hex25aa9b13f

10111004991 has 24 divisors (see below), whose sum is σ = 14954374656. Its totient is φ = 6581166480.

The previous prime is 10111004929. The next prime is 10111005029. The reversal of 10111004991 is 19940011101.

It is not a de Polignac number, because 10111004991 - 223 = 10102616383 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111004921) 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 23 ways as a sum of consecutive naturals, for example, 10995 + ... + 142628.

It is an arithmetic number, because the mean of its divisors is an integer number (623098944).

Almost surely, 210111004991 is an apocalyptic number.

10111004991 is a deficient number, since it is larger than the sum of its proper divisors (4843369665).

10111004991 is a wasteful number, since it uses less digits than its factorization.

10111004991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153803 (or 153800 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 27.

The spelling of 10111004991 in words is "ten billion, one hundred eleven million, four thousand, nine hundred ninety-one".

Divisors: 1 3 9 71 103 213 309 639 927 7313 21939 65817 153623 460869 1382607 10907233 15823169 32721699 47469507 98165097 142408521 1123444999 3370334997 10111004991