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2141204200 = 235210706021
BaseRepresentation
bin111111110100000…
…0010111011101000
312112020001102222021
41333220002323220
513341122013300
6552245234224
7104026635562
oct17750027350
95466042867
102141204200
119a9721453
124b9102974
132817b6845
14164534332
15c7ea5d1a
hex7fa02ee8

2141204200 has 24 divisors (see below), whose sum is σ = 4978300230. Its totient is φ = 856481600.

The previous prime is 2141204173. The next prime is 2141204227. The reversal of 2141204200 is 24021412.

It is an interprime number because it is at equal distance from previous prime (2141204173) and next prime (2141204227).

It can be written as a sum of positive squares in 3 ways, for example, as 2050459524 + 90744676 = 45282^2 + 9526^2 .

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 5 ways as a sum of consecutive naturals, for example, 5352811 + ... + 5353210.

Almost surely, 22141204200 is an apocalyptic number.

2141204200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2141204200 is an abundant number, since it is smaller than the sum of its proper divisors (2837096030).

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

2141204200 is a wasteful number, since it uses less digits than its factorization.

2141204200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10706037 (or 10706028 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2141204200 is about 46273.1477208975. The cubic root of 2141204200 is about 1288.9004110588.

Adding to 2141204200 its reverse (24021412), we get a palindrome (2165225612).

The spelling of 2141204200 in words is "two billion, one hundred forty-one million, two hundred four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 10706021 21412042 42824084 53530105 85648168 107060210 214120420 267650525 428240840 535301050 1070602100 2141204200