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109081000314 = 2321113210331649
BaseRepresentation
bin110010110010110111…
…0111111100101111010
3101102120001010221210200
41211211232333211322
53241344214002224
6122040000223030
710611062130036
oct1454556774572
9342501127720
10109081000314
1142296421040
121918300aa76
13a394cb0500
1453cb11d1c6
152c865b65c9
hex1965bbf97a

109081000314 has 144 divisors (see below), whose sum is σ = 281905790400. Its totient is φ = 30214978560.

The previous prime is 109081000289. The next prime is 109081000321. The reversal of 109081000314 is 413000180901.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3430762 + ... + 3462410.

It is an arithmetic number, because the mean of its divisors is an integer number (1957679100).

Almost surely, 2109081000314 is an apocalyptic number.

109081000314 is the 208884-th heptagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109081000314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140952895200).

109081000314 is an abundant number, since it is smaller than the sum of its proper divisors (172824790086).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

109081000314 is a wasteful number, since it uses less digits than its factorization.

109081000314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31797 (or 31781 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 109081000314 in words is "one hundred nine billion, eighty-one million, three hundred fourteen", and thus it is an aban number.

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 103 117 143 169 198 206 234 286 309 338 429 507 618 858 927 1014 1133 1287 1339 1521 1854 1859 2266 2574 2678 3042 3399 3718 4017 5577 6798 8034 10197 11154 12051 14729 16731 17407 20394 24102 29458 31649 33462 34814 44187 52221 63298 88374 94947 104442 132561 156663 189894 191477 265122 284841 313326 348139 382954 411437 569682 574431 696278 822874 1044417 1148862 1234311 1723293 2088834 2468622 3133251 3259847 3446586 3702933 4525807 5348681 6266502 6519694 7405866 9051614 9779541 10697362 13577421 16046043 19559082 27154842 29338623 32092086 35858317 40732263 42378011 48138129 58677246 58835491 71716634 81464526 84756022 96276258 107574951 117670982 127134033 176506473 215149902 254268066 322724853 353012946 381402099 466158121 529519419 550914143 645449706 762804198 932316242 1059038838 1101828286 1398474363 1652742429 2796948726 3305484858 4195423089 4958227287 6060055573 8390846178 9916454574 12120111146 18180166719 36360333438 54540500157 109081000314