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104114114141220 = 22325712114741469
BaseRepresentation
bin10111101011000011110100…
…110010100001110000100100
3111122122012201121220020100200
4113223003310302201300210
5102121301201210004340
61005233210322510500
730633665543302551
oct2753036462416044
9448565647806320
10104114114141220
11301a0603202067
12b81601a205430
134612bc38b5261
141b9d2158bba28
15c083a8b42330
hex5eb0f4ca1c24

104114114141220 has 108 divisors (see below), whose sum is σ = 320323532316060. Its totient is φ = 27372724606080.

The previous prime is 104114114141189. The next prime is 104114114141357. The reversal of 104114114141220 is 22141411411401.

It is a happy number.

104114114141220 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 14 + 11 + 414 + 1 + 220 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 69318013153536 + 34796100987684 = 8325744^2 + 5898822^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 56463355 + ... + 58278114.

Almost surely, 2104114114141220 is an apocalyptic number.

104114114141220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104114114141220 is an abundant number, since it is smaller than the sum of its proper divisors (216209418174840).

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

104114114141220 is a wasteful number, since it uses less digits than its factorization.

104114114141220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114741626 (or 114741550 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

Adding to 104114114141220 its reverse (22141411411401), we get a palindrome (126255525552621).

The spelling of 104114114141220 in words is "one hundred four trillion, one hundred fourteen billion, one hundred fourteen million, one hundred forty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 71 90 142 180 213 284 355 426 639 710 852 1065 1278 1420 2130 2556 3195 4260 5041 6390 10082 12780 15123 20164 25205 30246 45369 50410 60492 75615 90738 100820 151230 181476 226845 302460 453690 907380 114741469 229482938 344224407 458965876 573707345 688448814 1032673221 1147414690 1376897628 1721122035 2065346442 2294829380 3442244070 4130692884 5163366105 6884488140 8146644299 10326732210 16293288598 20653464420 24439932897 32586577196 40733221495 48879865794 73319798691 81466442990 97759731588 122199664485 146639597382 162932885980 244399328970 293279194764 366598993455 488798657940 578411745229 733197986910 1156823490458 1466395973820 1735235235687 2313646980916 2892058726145 3470470471374 5205705707061 5784117452290 6940940942748 8676176178435 10411411414122 11568234904580 17352352356870 20822822828244 26028528535305 34704704713740 52057057070610 104114114141220