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2121200214 = 237596114033
BaseRepresentation
bin111111001101110…
…1111001001010110
312110211102010122220
41332123233021112
513321011401324
6550252403210
7103364622120
oct17633571126
95424363586
102121200214
119993a9131
124b2476506
1327a601673
14161a08210
15c6353b79
hex7e6ef256

2121200214 has 64 divisors (see below), whose sum is σ = 5011822080. Its totient is φ = 585976320.

The previous prime is 2121200209. The next prime is 2121200293. The reversal of 2121200214 is 4120021212.

It is a junction number, because it is equal to n+sod(n) for n = 2121200193 and 2121200202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144142 + ... + 158174.

It is an arithmetic number, because the mean of its divisors is an integer number (78309720).

Almost surely, 22121200214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121200214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2505911040).

2121200214 is an abundant number, since it is smaller than the sum of its proper divisors (2890621866).

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

2121200214 is a wasteful number, since it uses less digits than its factorization.

2121200214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14165.

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

The square root of 2121200214 is about 46056.4893798909. The cubic root of 2121200214 is about 1284.8740385345.

Adding to 2121200214 its reverse (4120021212), we get a palindrome (6241221426).

The spelling of 2121200214 in words is "two billion, one hundred twenty-one million, two hundred thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 59 61 118 122 177 183 354 366 413 427 826 854 1239 1281 2478 2562 3599 7198 10797 14033 21594 25193 28066 42099 50386 75579 84198 98231 151158 196462 294693 589386 827947 856013 1655894 1712026 2483841 2568039 4967682 5136078 5795629 5992091 11591258 11984182 17386887 17976273 34773774 35952546 50504767 101009534 151514301 303028602 353533369 707066738 1060600107 2121200214