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331220212120014 = 237439713071446611
BaseRepresentation
bin100101101001111100011011…
…1000101011111100111001110
31121102202100021002000112112020
41023103320313011133213032
5321403202443300320024
63132240244223551010
7126523604425103040
oct11323706705374716
91542670232015466
10331220212120014
119659a780937588
1231194842a5b466
13112a7c16745499
145bb120284ba90
152845be79de979
hex12d3e3715f9ce

331220212120014 has 128 divisors (see below), whose sum is σ = 783266933256192. Its totient is φ = 91410568381440.

The previous prime is 331220212120013. The next prime is 331220212120051. The reversal of 331220212120014 is 410021212022133.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331220212120013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 228239569 + ... + 229686179.

It is an arithmetic number, because the mean of its divisors is an integer number (6119272916064).

Almost surely, 2331220212120014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331220212120014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391633466628096).

331220212120014 is an abundant number, since it is smaller than the sum of its proper divisors (452046721136178).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

331220212120014 is a wasteful number, since it uses less digits than its factorization.

331220212120014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448070.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 331220212120014 its reverse (410021212022133), we get a palindrome (741241424142147).

The spelling of 331220212120014 in words is "three hundred thirty-one trillion, two hundred twenty billion, two hundred twelve million, one hundred twenty thousand, fourteen".

Divisors: 1 2 3 6 7 14 21 42 43 86 97 129 194 258 291 301 582 602 679 903 1307 1358 1806 2037 2614 3921 4074 4171 7842 8342 9149 12513 18298 25026 27447 29197 54894 56201 58394 87591 112402 126779 168603 175182 253558 337206 380337 393407 760674 786814 887453 1180221 1446611 1774906 2360442 2662359 2893222 4339833 5324718 5451497 8679666 10126277 10902994 16354491 20252554 30378831 32708982 38160479 60757662 62204273 76320958 114481437 124408546 140321267 186612819 228962874 280642534 373225638 420963801 435429911 841927602 870859822 982248869 1306289733 1890720577 1964497738 2612579466 2946746607 3781441154 5672161731 5893493214 6033814481 11344323462 12067628962 13235044039 18101443443 26470088078 36202886886 39705132117 42236701367 79410264234 81300984811 84473402734 126710104101 162601969622 183399895969 243902954433 253420208202 366799791938 487805908866 550199687907 569106893677 1100399375814 1138213787354 1283799271783 1707320681031 2567598543566 3414641362062 3851397815349 7702795630698 7886195526667 15772391053334 23658586580001 47317173160002 55203368686669 110406737373338 165610106060007 331220212120014