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122312143523313 = 32101134556813557
BaseRepresentation
bin11011110011111000000011…
…110111011100110111110001
3121001001221000120201210222100
4123303320003313130313301
5112012430232220221223
61112045231212531013
734522521636644622
oct3363700367346761
9531057016653870
10122312143523313
1135a7731a391077
1211874ab5480a69
135332ca75c63a3
14222bd2175da49
15e21945e63043
hex6f3e03ddcdf1

122312143523313 has 12 divisors (see below), whose sum is σ = 178422334777908. Its totient is φ = 80734088133600.

The previous prime is 122312143523293. The next prime is 122312143523351. The reversal of 122312143523313 is 313325341213221.

122312143523313 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 121 + 4 + 3 + 523 + 3 + 1 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 64753034143329 + 57559109379984 = 8046927^2 + 7586772^2 .

It is not a de Polignac number, because 122312143523313 - 25 = 122312143523281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122312143523363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67278405870 + ... + 67278407687.

It is an arithmetic number, because the mean of its divisors is an integer number (14868527898159).

Almost surely, 2122312143523313 is an apocalyptic number.

It is an amenable number.

122312143523313 is a deficient number, since it is larger than the sum of its proper divisors (56110191254595).

122312143523313 is a wasteful number, since it uses less digits than its factorization.

122312143523313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134556813664 (or 134556813661 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

Adding to 122312143523313 its reverse (313325341213221), we get a palindrome (435637484736534).

The spelling of 122312143523313 in words is "one hundred twenty-two trillion, three hundred twelve billion, one hundred forty-three million, five hundred twenty-three thousand, three hundred thirteen".

Divisors: 1 3 9 101 303 909 134556813557 403670440671 1211011322013 13590238169257 40770714507771 122312143523313