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122148244345 = 580930197341
BaseRepresentation
bin111000111000010011…
…0100100101101111001
3102200021201110201201211
41301300212210231321
54000124422304340
6132040352443121
711552642642311
oct1616046445571
9380251421654
10122148244345
1147891554976
121b80b2494a1
13b69829747a
145caa790441
15329d89c5ea
hex1c709a4b79

122148244345 has 8 divisors (see below), whose sum is σ = 146759082120. Its totient is φ = 97597802880.

The previous prime is 122148244343. The next prime is 122148244369. The reversal of 122148244345 is 543442841221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2918916729 + 119229327616 = 54027^2 + 345296^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 122148244345 - 21 = 122148244343 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122148244298 and 122148244307.

It is not an unprimeable number, because it can be changed into a prime (122148244343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15094626 + ... + 15102715.

It is an arithmetic number, because the mean of its divisors is an integer number (18344885265).

Almost surely, 2122148244345 is an apocalyptic number.

It is an amenable number.

122148244345 is a deficient number, since it is larger than the sum of its proper divisors (24610837775).

122148244345 is an equidigital number, since it uses as much as digits as its factorization.

122148244345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30198155.

The product of its digits is 245760, while the sum is 40.

The spelling of 122148244345 in words is "one hundred twenty-two billion, one hundred forty-eight million, two hundred forty-four thousand, three hundred forty-five".

Divisors: 1 5 809 4045 30197341 150986705 24429648869 122148244345