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331143144220401 = 317971632571597913
BaseRepresentation
bin100101101001011000100010…
…1011110110010011011110001
31121102110222100002011121002220
41023102301011132302123301
5321400422124410023101
63132141021011231253
7126515205545546052
oct11322610536623361
91542428302147086
10331143144220401
1196570023034967
1231181914ba8529
13112a0883c10416
145bab5b1282729
152843bd6b51636
hex12d2c457b26f1

331143144220401 has 64 divisors (see below), whose sum is σ = 477062772657408. Its totient is φ = 203577159057408.

The previous prime is 331143144220337. The next prime is 331143144220411. The reversal of 331143144220401 is 104022441341133.

It is a happy number.

It is not a de Polignac number, because 331143144220401 - 26 = 331143144220337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (331143144220411) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 206435821 + ... + 208033733.

It is an arithmetic number, because the mean of its divisors is an integer number (7454105822772).

Almost surely, 2331143144220401 is an apocalyptic number.

It is an amenable number.

331143144220401 is a deficient number, since it is larger than the sum of its proper divisors (145919628437007).

331143144220401 is a wasteful number, since it uses less digits than its factorization.

331143144220401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598450.

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 331143144220401 its reverse (104022441341133), we get a palindrome (435165585561534).

The spelling of 331143144220401 in words is "three hundred thirty-one trillion, one hundred forty-three billion, one hundred forty-four million, two hundred twenty thousand, four hundred one".

Divisors: 1 3 17 51 97 163 257 291 489 771 1649 2771 4369 4947 8313 13107 15811 24929 41891 47433 74787 125673 268787 423793 712147 806361 1271379 1597913 2136441 4063427 4793739 12190281 27164521 69078259 81493563 154997561 207234777 260459819 410663641 464992683 781379457 1231990923 2634958537 4427816923 6981281897 7904875611 13283450769 20943845691 25264602443 39834373177 66938173483 75793807329 119503119531 200814520449 429498241531 677184344009 1137948949211 1288494724593 2031553032027 3413846847633 6493002827851 19479008483553 110381048073467 331143144220401