Search a number
-
+
2012214141 = 32767347459
BaseRepresentation
bin111011111101111…
…1111001101111101
312012020100001212200
41313323333031331
513110111323031
6531400422113
7100602352350
oct16773771575
95166301780
102012214141
1194292a2a3
12481a77939
13260b62972
14151358297
15bb9c68e6
hex77eff37d

2012214141 has 24 divisors (see below), whose sum is σ = 3326756160. Its totient is φ = 1148103936.

The previous prime is 2012214119. The next prime is 2012214161. The reversal of 2012214141 is 1414122102.

It is not a de Polignac number, because 2012214141 - 27 = 2012214013 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012214161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18670 + ... + 66128.

It is an arithmetic number, because the mean of its divisors is an integer number (138614840).

Almost surely, 22012214141 is an apocalyptic number.

2012214141 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2012214141 is a deficient number, since it is larger than the sum of its proper divisors (1314542019).

2012214141 is a wasteful number, since it uses less digits than its factorization.

2012214141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48145 (or 48142 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2012214141 is about 44857.7099393181. The cubic root of 2012214141 is about 1262.4806552733.

Adding to 2012214141 its reverse (1414122102), we get a palindrome (3426336243).

It can be divided in two parts, 2012 and 214141, that added together give a triangular number (216153 = T657).

The spelling of 2012214141 in words is "two billion, twelve million, two hundred fourteen thousand, one hundred forty-one".

Divisors: 1 3 7 9 21 63 673 2019 4711 6057 14133 42399 47459 142377 332213 427131 996639 2989917 31939907 95819721 223579349 287459163 670738047 2012214141