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10110839013 = 3511343727
BaseRepresentation
bin10010110101010011…
…10010100011100101
3222002122022211200000
421122221302203211
5131201333322023
64351142211513
7505361466522
oct113251624345
928078284600
1010110839013
11431933a000
121b62123b99
13c519576a2
146bcb76149
153e29a4243
hex25aa728e5

10110839013 has 96 divisors (see below), whose sum is σ = 17069724672. Its totient is φ = 5977041840.

The previous prime is 10110838979. The next prime is 10110839021. The reversal of 10110839013 is 31093801101.

It is a happy number.

10110839013 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 10110839013 - 26 = 10110838949 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10110839083) 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 95 ways as a sum of consecutive naturals, for example, 13907256 + ... + 13907982.

It is an arithmetic number, because the mean of its divisors is an integer number (177809632).

Almost surely, 210110839013 is an apocalyptic number.

It is an amenable number.

10110839013 is a deficient number, since it is larger than the sum of its proper divisors (6958885659).

10110839013 is an frugal number, since it uses more digits than its factorization.

10110839013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The spelling of 10110839013 in words is "ten billion, one hundred ten million, eight hundred thirty-nine thousand, thirteen".

Divisors: 1 3 9 11 27 33 43 81 99 121 129 243 297 363 387 473 727 891 1089 1161 1331 1419 2181 2673 3267 3483 3993 4257 5203 6543 7997 9801 10449 11979 12771 15609 19629 23991 29403 31261 35937 38313 46827 57233 58887 71973 87967 93783 107811 114939 140481 171699 176661 215919 263901 281349 323433 343871 421443 515097 647757 791703 844047 967637 1031613 1264329 1545291 1943271 2375109 2532141 2902911 3094839 3782581 4635873 7125327 7596423 8708733 9284517 11347743 13907619 21375981 26126199 27853551 34043229 41608391 78378597 83560653 102129687 124825173 235135791 306389061 374475519 919167183 1123426557 3370279671 10110839013