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2121243140 = 225106062157
BaseRepresentation
bin111111001101111…
…1001101000000100
312110211111022112202
41332123321220010
513321014240030
6550253334032
7103365161222
oct17633715004
95424438482
102121243140
11999428405
124b2497318
1327a618073
14161a19b12
15c6361745
hex7e6f9a04

2121243140 has 12 divisors (see below), whose sum is σ = 4454610636. Its totient is φ = 848497248.

The previous prime is 2121243139. The next prime is 2121243161. The reversal of 2121243140 is 413421212.

It can be written as a sum of positive squares in 2 ways, for example, as 841464064 + 1279779076 = 29008^2 + 35774^2 .

It is a super-3 number, since 3×21212431403 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 106062157 = 2121243140 / (2 + 1 + 2 + 1 + 2 + 4 + 3 + 1 + 4 + 0).

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 3 ways as a sum of consecutive naturals, for example, 53031059 + ... + 53031098.

It is an arithmetic number, because the mean of its divisors is an integer number (371217553).

Almost surely, 22121243140 is an apocalyptic number.

2121243140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121243140 is an abundant number, since it is smaller than the sum of its proper divisors (2333367496).

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

2121243140 is a wasteful number, since it uses less digits than its factorization.

2121243140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106062166 (or 106062164 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2121243140 is about 46056.9553922098. The cubic root of 2121243140 is about 1284.8827056609.

Adding to 2121243140 its reverse (413421212), we get a palindrome (2534664352).

The spelling of 2121243140 in words is "two billion, one hundred twenty-one million, two hundred forty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 106062157 212124314 424248628 530310785 1060621570 2121243140