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2141221412 = 2211531019091
BaseRepresentation
bin111111110100000…
…0111001000100100
312112020002022120202
41333220013020210
513341123041122
6552245450032
7104030040011
oct17750071044
95466068522
102141221412
119a9733380
124b9110918
132817c1625
1416453a708
15c7eaae92
hex7fa07224

2141221412 has 48 divisors (see below), whose sum is σ = 4206613824. Its totient is φ = 945360000.

The previous prime is 2141221393. The next prime is 2141221471.

2141221412 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 230987 + ... + 240077.

It is an arithmetic number, because the mean of its divisors is an integer number (87637788).

Almost surely, 22141221412 is an apocalyptic number.

2141221412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2141221412 is a deficient number, since it is larger than the sum of its proper divisors (2065392412).

2141221412 is a wasteful number, since it uses less digits than its factorization.

2141221412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9260 (or 9258 counting only the distinct ones).

The product of its digits is 256, while the sum is 20.

The square root of 2141221412 is about 46273.3337031167. Note that the first 3 decimals coincide. The cubic root of 2141221412 is about 1288.9038646441.

It can be divided in two parts, 21412 and 21412, that added together give a palindrome (42824).

The spelling of 2141221412 in words is "two billion, one hundred forty-one million, two hundred twenty-one thousand, four hundred twelve".

Divisors: 1 2 4 11 22 44 53 101 106 202 212 404 583 1111 1166 2222 2332 4444 5353 9091 10706 18182 21412 36364 58883 100001 117766 200002 235532 400004 481823 918191 963646 1836382 1927292 3672764 5300053 10100101 10600106 20200202 21200212 40400404 48664123 97328246 194656492 535305353 1070610706 2141221412