Search a number
-
+
2121111220 = 225412586721
BaseRepresentation
bin111111001101101…
…1001011010110100
312110211020121120211
41332123121122310
513321001024340
6550250435204
7103364101504
oct17633313264
95424217524
102121111220
11999348288
124b2432b04
1327a59ccc7
141619c3a04
15c63375ea
hex7e6d96b4

2121111220 has 24 divisors (see below), whose sum is σ = 4562977608. Its totient is φ = 827750400.

The previous prime is 2121111217. The next prime is 2121111229. The reversal of 2121111220 is 221111212.

It can be written as a sum of positive squares in 4 ways, for example, as 81324324 + 2039786896 = 9018^2 + 45164^2 .

It is a super-2 number, since 2×21211112202 = 8998225615219776800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2121111220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121111229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1292541 + ... + 1294180.

It is an arithmetic number, because the mean of its divisors is an integer number (190124067).

Almost surely, 22121111220 is an apocalyptic number.

2121111220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121111220 is an abundant number, since it is smaller than the sum of its proper divisors (2441866388).

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

2121111220 is a wasteful number, since it uses less digits than its factorization.

2121111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2586771 (or 2586769 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

The square root of 2121111220 is about 46055.5232301187. The cubic root of 2121111220 is about 1284.8560695126.

Adding to 2121111220 its reverse (221111212), we get a palindrome (2342222432).

The spelling of 2121111220 in words is "two billion, one hundred twenty-one million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 2586721 5173442 10346884 12933605 25867210 51734420 106055561 212111122 424222244 530277805 1060555610 2121111220