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2141052020 = 225293691469
BaseRepresentation
bin111111110011101…
…1101110001110100
312112012202201012222
41333213131301310
513341102131040
6552242101512
7104025433112
oct17747356164
95465681188
102141052020
119a9628088
124b904a898
132817624b3
141644d4ab2
15c7e75bb5
hex7f9ddc74

2141052020 has 24 divisors (see below), whose sum is σ = 4651252200. Its totient is φ = 826888832.

The previous prime is 2141051989. The next prime is 2141052041. The reversal of 2141052020 is 202501412.

It can be written as a sum of positive squares in 4 ways, for example, as 4024036 + 2137027984 = 2006^2 + 46228^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2141052020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1845155 + ... + 1846314.

It is an arithmetic number, because the mean of its divisors is an integer number (193802175).

Almost surely, 22141052020 is an apocalyptic number.

2141052020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2141052020 is an abundant number, since it is smaller than the sum of its proper divisors (2510200180).

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

2141052020 is a wasteful number, since it uses less digits than its factorization.

2141052020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3691507 (or 3691505 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 2141052020 is about 46271.5033254810. The cubic root of 2141052020 is about 1288.8698753581.

Adding to 2141052020 its reverse (202501412), we get a palindrome (2343553432).

The spelling of 2141052020 in words is "two billion, one hundred forty-one million, fifty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 3691469 7382938 14765876 18457345 36914690 73829380 107052601 214105202 428210404 535263005 1070526010 2141052020