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122404304124341 = 3741177134555321
BaseRepresentation
bin11011110101001101111001…
…000100001111100110110101
3121001101201220102011102111222
4123311031321010033212311
5112020433003323434331
61112155432214240125
734532263523064551
oct3365157104174665
9531351812142458
10122404304124341
1136002412671748
121188a935956045
13533b8a3c33bc5
1422325855a0861
15e2403bd27b7b
hex6f537910f9b5

122404304124341 has 16 divisors (see below), whose sum is σ = 128785986357168. Its totient is φ = 116184712089600.

The previous prime is 122404304124317. The next prime is 122404304124451. The reversal of 122404304124341 is 143421403404221.

It can be written as a sum of positive squares in 8 ways, for example, as 1545722779441 + 120858581344900 = 1243271^2 + 10993570^2 .

It is a de Polignac number, because none of the positive numbers 2k-122404304124341 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 (122404304124241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24592961 + ... + 29148281.

It is an arithmetic number, because the mean of its divisors is an integer number (8049124147323).

Almost surely, 2122404304124341 is an apocalyptic number.

It is an amenable number.

122404304124341 is a deficient number, since it is larger than the sum of its proper divisors (6381682232827).

122404304124341 is a wasteful number, since it uses less digits than its factorization.

122404304124341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4573112.

The product of its (nonzero) digits is 73728, while the sum is 35.

Adding to 122404304124341 its reverse (143421403404221), we get a palindrome (265825707528562).

The spelling of 122404304124341 in words is "one hundred twenty-two trillion, four hundred four billion, three hundred four million, one hundred twenty-four thousand, three hundred forty-one".

Divisors: 1 37 41 1517 17713 655381 726233 4555321 26870621 168546877 186768161 6910421957 80688400873 2985470832301 3308224435793 122404304124341