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312404042020341 = 32328319112417331
BaseRepresentation
bin100011100001000010011101…
…1111100110111010111110101
31111222010112102211100222011110
41013002010323330313113311
5311421411434224122331
63024232234033025233
7122542306251141345
oct10702047374672765
91458115384328143
10312404042020341
11905a58a04003a7
122b055bb56b5219
131054176197773b
145720617348d25
15261b52ce4d946
hex11c213bf375f5

312404042020341 has 48 divisors (see below), whose sum is σ = 442990007857152. Its totient is φ = 195783545416800.

The previous prime is 312404042020331. The next prime is 312404042020429. The reversal of 312404042020341 is 143020240404213.

It is not a de Polignac number, because 312404042020341 - 213 = 312404042012149 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 312404042020299 and 312404042020308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312404042020331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18950046 + ... + 31367376.

It is an arithmetic number, because the mean of its divisors is an integer number (9228958497024).

Almost surely, 2312404042020341 is an apocalyptic number.

It is an amenable number.

312404042020341 is a deficient number, since it is larger than the sum of its proper divisors (130585965836811).

312404042020341 is a wasteful number, since it uses less digits than its factorization.

312404042020341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12417654 (or 12417631 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 312404042020341 its reverse (143020240404213), we get a palindrome (455424282424554).

The spelling of 312404042020341 in words is "three hundred twelve trillion, four hundred four billion, forty-two million, twenty thousand, three hundred forty-one".

Divisors: 1 3 23 69 83 191 249 529 573 1587 1909 4393 5727 13179 15853 43907 47559 101039 131721 303117 364619 1093857 8386237 12417331 25158711 37251993 285598613 856795839 1030638473 2371710221 3091915419 6568768099 7115130663 19706304297 23704684879 54549335083 71114054637 163648005249 196851948343 545207752217 590555845029 1254634706909 1635623256651 3763904120727 4527594811889 13582784435667 104134680673447 312404042020341