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331230122101141 = 3733829264629917
BaseRepresentation
bin100101101010000001000010…
…1110001000100100110010101
31121102210021211201101201222021
41023110002011301010212111
5321403333242224214031
63132245003433133141
7126524405130413224
oct11324020561044625
91542707751351867
10331230122101141
11965a39a685802a
123119674985a1b1
13112a8b358a5243
145bb18a2a5acbb
1528460c7a1a511
hex12d4085c44995

331230122101141 has 8 divisors (see below), whose sum is σ = 340192344785720. Its totient is φ = 322268428744128.

The previous prime is 331230122101093. The next prime is 331230122101181. The reversal of 331230122101141 is 141101221032133.

It can be written as a sum of positive squares in 4 ways, for example, as 61992726614116 + 269237395487025 = 7873546^2 + 16408455^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 331230122101141 - 27 = 331230122101013 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331230122101181) 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, 131063286 + ... + 133566631.

It is an arithmetic number, because the mean of its divisors is an integer number (42524043098215).

Almost surely, 2331230122101141 is an apocalyptic number.

It is an amenable number.

331230122101141 is a deficient number, since it is larger than the sum of its proper divisors (8962222684579).

331230122101141 is a wasteful number, since it uses less digits than its factorization.

331230122101141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264663783.

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 331230122101141 its reverse (141101221032133), we get a palindrome (472331343133274).

The spelling of 331230122101141 in words is "three hundred thirty-one trillion, two hundred thirty billion, one hundred twenty-two million, one hundred one thousand, one hundred forty-one".

Divisors: 1 37 33829 1251673 264629917 9791306929 8952165462193 331230122101141