Search a number
-
+
110020221001120 = 25511811433406309
BaseRepresentation
bin11001000001000000010100…
…001100001101110110100000
3112102112211102100221001220111
4121001000110030031312200
5103410032403034013440
61025554331454021104
732113461432266563
oct3101002414156640
9472484370831814
10110020221001120
113206834a596671
121040a7a54a7794
134950b296a7391
141d250157144da
15cabd29a854ea
hex64101430dda0

110020221001120 has 96 divisors (see below), whose sum is σ = 260325037077840. Its totient is φ = 43940032389120.

The previous prime is 110020221001079. The next prime is 110020221001139. The reversal of 110020221001120 is 21100122020011.

It can be written as a sum of positive squares in 8 ways, for example, as 106097333726736 + 3922887274384 = 10300356^2 + 1980628^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 110020221001120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 270576526 + ... + 270982834.

Almost surely, 2110020221001120 is an apocalyptic number.

110020221001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110020221001120 is an abundant number, since it is smaller than the sum of its proper divisors (150304816076720).

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

110020221001120 is a wasteful number, since it uses less digits than its factorization.

110020221001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408938 (or 408930 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 110020221001120 its reverse (21100122020011), we get a palindrome (131120343021131).

The spelling of 110020221001120 in words is "one hundred ten trillion, twenty billion, two hundred twenty-one million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1181 1433 2362 2866 4724 5732 5905 7165 9448 11464 11810 14330 18896 22928 23620 28660 37792 45856 47240 57320 94480 114640 188960 229280 406309 812618 1625236 1692373 2031545 3250472 3384746 4063090 6500944 6769492 8126180 8461865 13001888 13538984 16252360 16923730 27077968 32504720 33847460 54155936 65009440 67694920 135389840 270779680 479850929 582240797 959701858 1164481594 1919403716 2328963188 2399254645 2911203985 3838807432 4657926376 4798509290 5822407970 7677614864 9315852752 9597018580 11644815940 15355229728 18631705504 19194037160 23289631880 38388074320 46579263760 76776148640 93158527520 687626381257 1375252762514 2750505525028 3438131906285 5501011050056 6876263812570 11002022100112 13752527625140 22004044200224 27505055250280 55010110500560 110020221001120