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2141122420 = 225107056121
BaseRepresentation
bin111111110011110…
…1110111101110100
312112012220021210101
41333213232331310
513341111404140
6552243403444
7104026145263
oct17747567564
95465807711
102141122420
119a9675a68
124b9083584
13281788558
141645125da
15c7e8b99a
hex7f9eef74

2141122420 has 12 divisors (see below), whose sum is σ = 4496357124. Its totient is φ = 856448960.

The previous prime is 2141122411. The next prime is 2141122427. The reversal of 2141122420 is 242211412.

It can be written as a sum of positive squares in 2 ways, for example, as 336062224 + 1805060196 = 18332^2 + 42486^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141122427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53528041 + ... + 53528080.

It is an arithmetic number, because the mean of its divisors is an integer number (374696427).

Almost surely, 22141122420 is an apocalyptic number.

2141122420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2141122420 is an abundant number, since it is smaller than the sum of its proper divisors (2355234704).

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

2141122420 is a wasteful number, since it uses less digits than its factorization.

2141122420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107056130 (or 107056128 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 2141122420 is about 46272.2640466187. The cubic root of 2141122420 is about 1288.8840016605.

Adding to 2141122420 its reverse (242211412), we get a palindrome (2383333832).

The spelling of 2141122420 in words is "two billion, one hundred forty-one million, one hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 107056121 214112242 428224484 535280605 1070561210 2141122420