Search a number
-
+
14222131002321 = 31117141591790479
BaseRepresentation
bin1100111011110101100100…
…0100001111101111010001
31212100121210202121001010120
43032331121010033233101
53331003411014033241
650125320133220453
72665341443620164
oct316753104175721
955317722531116
1014222131002321
1145936321a9450
121718416a91729
137c21ab2a1b68
143724d7871adb
15199e3c22b666
hexcef5910fbd1

14222131002321 has 32 divisors (see below), whose sum is σ = 21905162035200. Its totient is φ = 8111868007680.

The previous prime is 14222131002281. The next prime is 14222131002403. The reversal of 14222131002321 is 12320013122241.

It is not a de Polignac number, because 14222131002321 - 29 = 14222131001809 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14222131002291 and 14222131002300.

It is not an unprimeable number, because it can be changed into a prime (14222131002421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7047960 + ... + 8838438.

It is an arithmetic number, because the mean of its divisors is an integer number (684536313600).

Almost surely, 214222131002321 is an apocalyptic number.

14222131002321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14222131002321 is a deficient number, since it is larger than the sum of its proper divisors (7683031032879).

14222131002321 is a wasteful number, since it uses less digits than its factorization.

14222131002321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1804669.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 14222131002321 its reverse (12320013122241), we get a palindrome (26542144124562).

The spelling of 14222131002321 in words is "fourteen trillion, two hundred twenty-two billion, one hundred thirty-one million, two thousand, three hundred twenty-one".

Divisors: 1 3 11 17 33 51 187 561 14159 42477 155749 240703 467247 722109 1790479 2647733 5371437 7943199 19695269 30438143 59085807 91314429 334819573 1004458719 25351392161 76054176483 278865313771 430973666737 836595941313 1292921000211 4740710334107 14222131002321