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110004300113430 = 235194723811724557
BaseRepresentation
bin11001000000110001011111…
…001110110110011000010110
3112102111022022210222011210110
4121000301133032312120112
5103404302301312112210
61025543140002103450
732112356051054442
oct3100613716663026
9472438283864713
10110004300113430
113206161a676048
12104076a164ab86
13494c490130488
141d24345097822
15cab6e6eba420
hex640c5f3b6616

110004300113430 has 128 divisors (see below), whose sum is σ = 283937851422720. Its totient is φ = 27187832286720.

The previous prime is 110004300113399. The next prime is 110004300113551. The reversal of 110004300113430 is 34311003400011.

It is a junction number, because it is equal to n+sod(n) for n = 110004300113397 and 110004300113406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62924712 + ... + 64649268.

It is an arithmetic number, because the mean of its divisors is an integer number (2218264464240).

Almost surely, 2110004300113430 is an apocalyptic number.

110004300113430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 110004300113430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141968925711360).

110004300113430 is an abundant number, since it is smaller than the sum of its proper divisors (173933551309290).

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

110004300113430 is a wasteful number, since it uses less digits than its factorization.

110004300113430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1727014.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 110004300113430 its reverse (34311003400011), we get a palindrome (144315303513441).

The spelling of 110004300113430 in words is "one hundred ten trillion, four billion, three hundred million, one hundred thirteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 47 57 94 95 114 141 190 235 282 285 470 570 705 893 1410 1786 2381 2679 4465 4762 5358 7143 8930 11905 13395 14286 23810 26790 35715 45239 71430 90478 111907 135717 223814 226195 271434 335721 452390 559535 671442 678585 1119070 1357170 1678605 1724557 2126233 3357210 3449114 4252466 5173671 6378699 8622785 10347342 10631165 12757398 17245570 21262330 25868355 31893495 32766583 51736710 63786990 65533166 81054179 98299749 162108358 163832915 196599498 243162537 327665830 405270895 486325074 491498745 810541790 982997490 1215812685 1540029401 2431625370 3080058802 4106170217 4620088203 7700147005 8212340434 9240176406 12318510651 15400294010 20530851085 23100441015 24637021302 41061702170 46200882030 61592553255 78017234123 123185106510 156034468246 192990000199 234051702369 385980000398 390086170615 468103404738 578970000597 780172341230 964950000995 1157940001194 1170258511845 1929900001990 2340517023690 2894850002985 3666810003781 5789700005970 7333620007562 11000430011343 18334050018905 22000860022686 36668100037810 55002150056715 110004300113430