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2114312020 = 225192292841
BaseRepresentation
bin111111000000101…
…1101011101010100
312110100110011211121
41332001131131110
513312230441040
6545445013324
7103252232662
oct17601353524
95410404747
102114312020
11995523a07
124b00b4244
1327905c302
14160b33c32
15c5942c4a
hex7e05d754

2114312020 has 36 divisors (see below), whose sum is σ = 4686057684. Its totient is φ = 801210240.

The previous prime is 2114312009. The next prime is 2114312071. The reversal of 2114312020 is 202134112.

It can be written as a sum of positive squares in 2 ways, for example, as 363893776 + 1750418244 = 19076^2 + 41838^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2114311985 and 2114312003.

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, 139201 + ... + 153640.

It is an arithmetic number, because the mean of its divisors is an integer number (130168269).

Almost surely, 22114312020 is an apocalyptic number.

2114312020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2114312020 is an abundant number, since it is smaller than the sum of its proper divisors (2571745664).

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

2114312020 is a wasteful number, since it uses less digits than its factorization.

2114312020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292888 (or 292867 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2114312020 is about 45981.6487307708. The cubic root of 2114312020 is about 1283.4817357290.

Adding to 2114312020 its reverse (202134112), we get a palindrome (2316446132).

The spelling of 2114312020 in words is "two billion, one hundred fourteen million, three hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 361 380 722 1444 1805 3610 7220 292841 585682 1171364 1464205 2928410 5563979 5856820 11127958 22255916 27819895 55639790 105715601 111279580 211431202 422862404 528578005 1057156010 2114312020