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1232214122321 = 713192925399679
BaseRepresentation
bin10001111011100101101…
…011110101111101010001
311100210120010021002011222
4101323211223311331101
5130142033303403241
62342023225014425
7155011262140010
oct21734553657521
94323503232158
101232214122321
11435640825a86
1217a98a024415
138c2745b7450
14438d4a48a77
15220bcdc0a4b
hex11ee5af5f51

1232214122321 has 64 divisors (see below), whose sum is σ = 1652259840000. Its totient is φ = 891333580032.

The previous prime is 1232214122287. The next prime is 1232214122333.

1232214122321 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1232214122321 - 210 = 1232214121297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1232214121321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 127303160 + ... + 127312838.

It is an arithmetic number, because the mean of its divisors is an integer number (25816560000).

Almost surely, 21232214122321 is an apocalyptic number.

It is an amenable number.

1232214122321 is a deficient number, since it is larger than the sum of its proper divisors (420045717679).

1232214122321 is a wasteful number, since it uses less digits than its factorization.

1232214122321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12286.

The product of its digits is 2304, while the sum is 26.

The spelling of 1232214122321 in words is "one trillion, two hundred thirty-two billion, two hundred fourteen million, one hundred twenty-two thousand, three hundred twenty-one".

Divisors: 1 7 13 19 29 91 133 203 247 377 551 1729 2539 2639 3857 7163 9679 17773 33007 48241 50141 67753 73631 125827 183901 231049 280691 337687 515417 627133 880789 957203 1287307 1398989 1964837 2390713 3648983 4389931 5333129 6700421 9792923 16734991 18186857 24574981 25542881 37331903 69330677 127307999 172024867 319474753 466924639 485314739 712674449 2236323271 3268472473 4988721143 6070020307 9264767837 13540814531 42490142149 64853374859 94785701717 176030588903 1232214122321