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1110110110120 = 235112229361593
BaseRepresentation
bin10000001001110111101…
…110000000000110101000
310221010101111000120112201
4100021313232000012220
5121142001142010440
62205551052145544
7143126364150154
oct20116756000650
93833344016481
101110110110120
11398882242400
1215b1917682b4
13808b5538c5b
143ba300d0064
151dd2335e19a
hex10277b801a8

1110110110120 has 48 divisors (see below), whose sum is σ = 2745458280180. Its totient is φ = 403676401920.

The previous prime is 1110110110117. The next prime is 1110110110129. The reversal of 1110110110120 is 210110110111.

It can be written as a sum of positive squares in 2 ways, for example, as 1095844674276 + 14265435844 = 1046826^2 + 119438^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1110110110097 and 1110110110106.

It is not an unprimeable number, because it can be changed into a prime (1110110110129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114675957 + ... + 114685636.

Almost surely, 21110110110120 is an apocalyptic number.

1110110110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1110110110120 is an abundant number, since it is smaller than the sum of its proper divisors (1635348170060).

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

1110110110120 is a wasteful number, since it uses less digits than its factorization.

1110110110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229361626 (or 229361611 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 1110110110120 its reverse (210110110111), we get a palindrome (1320220220231).

Subtracting from 1110110110120 its reverse (210110110111), we obtain a palindrome (900000000009).

The spelling of 1110110110120 in words is "one trillion, one hundred ten billion, one hundred ten million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 4840 229361593 458723186 917446372 1146807965 1834892744 2293615930 2522977523 4587231860 5045955046 9174463720 10091910092 12614887615 20183820184 25229775230 27752752753 50459550460 55505505506 100919100920 111011011012 138763763765 222022022024 277527527530 555055055060 1110110110120