Search a number
-
+
110212121120 = 2551016820057
BaseRepresentation
bin110011010100100100…
…1111000001000100000
3101112110212112211211212
41212221021320020200
53301203300333440
6122344124125252
710651105400243
oct1465111701040
9345425484755
10110212121120
1142816961922
1219439996828
13a51543936a
14549743d25a
152d00a48465
hex19a9278220

110212121120 has 48 divisors (see below), whose sum is σ = 262954156248. Its totient is φ = 43648358400.

The previous prime is 110212121083. The next prime is 110212121137. The reversal of 110212121120 is 21121212011.

It can be written as a sum of positive squares in 4 ways, for example, as 85912299664 + 24299821456 = 293108^2 + 155884^2 .

It is a junction number, because it is equal to n+sod(n) for n = 110212121095 and 110212121104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3393869 + ... + 3426188.

Almost surely, 2110212121120 is an apocalyptic number.

110212121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110212121120 is an abundant number, since it is smaller than the sum of its proper divisors (152742035128).

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

110212121120 is a wasteful number, since it uses less digits than its factorization.

110212121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6820173 (or 6820165 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 110212121120 its reverse (21121212011), we get a palindrome (131333333131).

The spelling of 110212121120 in words is "one hundred ten billion, two hundred twelve million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 101 160 202 404 505 808 1010 1616 2020 3232 4040 8080 16160 6820057 13640114 27280228 34100285 54560456 68200570 109120912 136401140 218241824 272802280 545604560 688825757 1091209120 1377651514 2755303028 3444128785 5510606056 6888257570 11021212112 13776515140 22042424224 27553030280 55106060560 110212121120