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2120112102020 = 225112876079381
BaseRepresentation
bin11110110110100000100…
…001110101101010000100
321111200101020221211112012
4132312200201311222010
5234213442144231040
64301544400113352
7306113232345353
oct36664041655204
97450336854465
102120112102020
11748153012900
122a2a85305858
13124c05a3b7a3
1474884a5799a
153a237c28865
hex1eda0875a84

2120112102020 has 36 divisors (see below), whose sum is σ = 4893779427852. Its totient is φ = 770949854400.

The previous prime is 2120112101981. The next prime is 2120112102037. The reversal of 2120112102020 is 202012110212.

It can be written as a sum of positive squares in 2 ways, for example, as 1416942645316 + 703169456704 = 1190354^2 + 838552^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2120112101986 and 2120112102004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 438037271 + ... + 438042110.

Almost surely, 22120112102020 is an apocalyptic number.

2120112102020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120112102020 is an abundant number, since it is smaller than the sum of its proper divisors (2773667325832).

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

2120112102020 is a wasteful number, since it uses less digits than its factorization.

2120112102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876079412 (or 876079399 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2120112102020 its reverse (202012110212), we get a palindrome (2322124212232).

The spelling of 2120112102020 in words is "two trillion, one hundred twenty billion, one hundred twelve million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 876079381 1752158762 3504317524 4380396905 8760793810 9636873191 17521587620 19273746382 38547492764 48184365955 96368731910 106005605101 192737463820 212011210202 424022420404 530028025505 1060056051010 2120112102020