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2140002114 = 238313132803
BaseRepresentation
bin111111110001101…
…1101011101000010
312112010210101000120
41333203131131002
513340320031424
6552203401110
7104013501135
oct17743353502
95463711016
102140002114
119a8a80298
124b8823196
13281485653
1416430021c
15c7d19a79
hex7f8dd742

2140002114 has 32 divisors (see below), whose sum is σ = 4364769024. Its totient is φ = 699338640.

The previous prime is 2140002097. The next prime is 2140002127. The reversal of 2140002114 is 4112000412.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2140002093 and 2140002102.

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 15 ways as a sum of consecutive naturals, for example, 48837 + ... + 81639.

It is an arithmetic number, because the mean of its divisors is an integer number (136399032).

Almost surely, 22140002114 is an apocalyptic number.

2140002114 is an abundant number, since it is smaller than the sum of its proper divisors (2224766910).

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

2140002114 is a wasteful number, since it uses less digits than its factorization.

2140002114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33022.

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2140002114 is about 46260.1568739234. The cubic root of 2140002114 is about 1288.6591668760.

Adding to 2140002114 its reverse (4112000412), we get a palindrome (6252002526).

The spelling of 2140002114 in words is "two billion, one hundred forty million, two thousand, one hundred fourteen".

Divisors: 1 2 3 6 83 131 166 249 262 393 498 786 10873 21746 32619 32803 65238 65606 98409 196818 2722649 4297193 5445298 8167947 8594386 12891579 16335894 25783158 356667019 713334038 1070001057 2140002114