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10110933309 = 331593675021
BaseRepresentation
bin10010110101010100…
…01001100100111101
3222002122111122000110
421122222021210331
5131201344331214
64351144220233
7505362341451
oct113252114475
928078448013
1010110933309
1143193a3934
121b6216a679
13c5198b599
146bcb9c661
153e29c2159
hex25aa8993d

10110933309 has 32 divisors (see below), whose sum is σ = 14193377280. Its totient is φ = 6393873600.

The previous prime is 10110933299. The next prime is 10110933323. The reversal of 10110933309 is 90333901101.

It is a happy number.

10110933309 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 10110933309 - 228 = 9842497853 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10110933709) 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 31 ways as a sum of consecutive naturals, for example, 2011219 + ... + 2016239.

It is an arithmetic number, because the mean of its divisors is an integer number (443543040).

Almost surely, 210110933309 is an apocalyptic number.

It is an amenable number.

10110933309 is a deficient number, since it is larger than the sum of its proper divisors (4082443971).

10110933309 is a wasteful number, since it uses less digits than its factorization.

10110933309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5481.

The product of its (nonzero) digits is 2187, while the sum is 30.

The spelling of 10110933309 in words is "ten billion, one hundred ten million, nine hundred thirty-three thousand, three hundred nine".

Divisors: 1 3 31 59 93 177 367 1101 1829 5021 5487 11377 15063 21653 34131 64959 155651 296239 466953 671243 888717 1842707 2013729 5528121 9183409 27550227 57123917 108719713 171371751 326159139 3370311103 10110933309