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110214321230013 = 37311133720243467
BaseRepresentation
bin11001000011110101000101…
…011101110101000010111101
3112110020101102112202022220220
4121003311011131311002331
5103421222412213330023
61030223432111331553
732133502424103000
oct3103650535650275
9473211375668826
10110214321230013
11321326a4064480
1210440335220bb9
134966220621520
141d3058a037537
15cb1dda0be3e3
hex643d457750bd

110214321230013 has 128 divisors (see below), whose sum is σ = 206774879539200. Its totient is φ = 51421642594560.

The previous prime is 110214321230003. The next prime is 110214321230033. The reversal of 110214321230013 is 310032123412011.

It is not a de Polignac number, because 110214321230013 - 24 = 110214321229997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110214321230003) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4677295 + ... + 15566172.

It is an arithmetic number, because the mean of its divisors is an integer number (1615428746400).

Almost surely, 2110214321230013 is an apocalyptic number.

110214321230013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

110214321230013 is a deficient number, since it is larger than the sum of its proper divisors (96560558309187).

110214321230013 is a wasteful number, since it uses less digits than its factorization.

110214321230013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20243552 (or 20243538 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 110214321230013 its reverse (310032123412011), we get a palindrome (420246444642024).

The spelling of 110214321230013 in words is "one hundred ten trillion, two hundred fourteen billion, three hundred twenty-one million, two hundred thirty thousand, thirteen".

Divisors: 1 3 7 11 13 21 33 37 39 49 77 91 111 143 147 231 259 273 343 407 429 481 539 637 777 1001 1029 1221 1443 1617 1813 1911 2849 3003 3367 3773 4459 5291 5439 7007 8547 10101 11319 12691 13377 15873 19943 21021 23569 37037 38073 49049 59829 70707 111111 139601 147147 164983 259259 418803 494949 777777 1814813 5444439 20243467 60730401 141704269 222678137 263165071 425112807 668034411 749008279 789495213 991929883 1558746959 1842155497 2247024837 2894815781 2975789649 4676240877 5243057953 5526466491 6943509181 8239091069 8684447343 9737107627 10911228713 12895088479 15729173859 20263710467 20830527543 24717273207 29211322881 32733686139 36701405671 38685265437 57673637483 60791131401 68159753389 76378600991 90265619353 107108183897 110104217013 141845973269 173020912449 204479260167 229135802973 256909839697 270796858059 321324551691 403715462381 425537919807 477118273723 749757287279 770729519091 992921812883 1211146387143 1431354821169 2249271861837 2826008236667 2978765438649 3339827916061 5248301010953 8478024710001 10019483748183 15744903032859 36738107076671 110214321230013