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110120000020 = 225172911168357
BaseRepresentation
bin110011010001110101…
…0011101101000010100
3101112020110012121110021
41212203222131220110
53301011210000040
6122331033434524
710645606361512
oct1464352355024
9345213177407
10110120000020
1142779961988
1219412b6ba44
13a4cc323b34
1454890dd4b2
152ce78ed24a
hex19a3a9da14

110120000020 has 48 divisors (see below), whose sum is σ = 253298359440. Its totient is φ = 40027387904.

The previous prime is 110119999993. The next prime is 110120000041. The reversal of 110120000020 is 20000021011.

It can be written as a sum of positive squares in 8 ways, for example, as 13113914256 + 97006085764 = 114516^2 + 311458^2 .

It is a junction number, because it is equal to n+sod(n) for n = 110119999958 and 110120000012.

It is a congruent number.

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, 5574319 + ... + 5594038.

It is an arithmetic number, because the mean of its divisors is an integer number (5277049155).

Almost surely, 2110120000020 is an apocalyptic number.

110120000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110120000020 is an abundant number, since it is smaller than the sum of its proper divisors (143178359420).

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

110120000020 is a wasteful number, since it uses less digits than its factorization.

110120000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11168412 (or 11168410 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 110120000020 its reverse (20000021011), we get a palindrome (130120021031).

The spelling of 110120000020 in words is "one hundred ten billion, one hundred twenty million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 116 145 170 290 340 493 580 986 1972 2465 4930 9860 11168357 22336714 44673428 55841785 111683570 189862069 223367140 323882353 379724138 647764706 759448276 949310345 1295529412 1619411765 1898620690 3238823530 3797241380 5506000001 6477647060 11012000002 22024000004 27530000005 55060000010 110120000020