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2110012020 = 2232511722289
BaseRepresentation
bin111110111000100…
…0011101001110100
312110001100201100100
41331301003221310
513310130341040
6545212514100
7103200543354
oct17561035164
95401321310
102110012020
11993057296
124aa77b930
132781b502c
14160334b64
15c5393b30
hex7dc43a74

2110012020 has 36 divisors (see below), whose sum is σ = 6400370340. Its totient is φ = 562669824.

The previous prime is 2110012013. The next prime is 2110012043. The reversal of 2110012020 is 202100112.

It can be written as a sum of positive squares in 2 ways, for example, as 397045476 + 1712966544 = 19926^2 + 41388^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2110011993 and 2110012011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5860965 + ... + 5861324.

It is an arithmetic number, because the mean of its divisors is an integer number (177788065).

Almost surely, 22110012020 is an apocalyptic number.

2110012020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2110012020 is an abundant number, since it is smaller than the sum of its proper divisors (4290358320).

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

2110012020 is a wasteful number, since it uses less digits than its factorization.

2110012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11722304 (or 11722299 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2110012020 is about 45934.8671490405. The cubic root of 2110012020 is about 1282.6110479178.

Adding to 2110012020 its reverse (202100112), we get a palindrome (2312112132).

The spelling of 2110012020 in words is "two billion, one hundred ten million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 11722289 23444578 35166867 46889156 58611445 70333734 105500601 117222890 140667468 175834335 211001202 234445780 351668670 422002404 527503005 703337340 1055006010 2110012020