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331021433201214 = 23727923416088079
BaseRepresentation
bin100101101000011111110111…
…0111100000110001000111110
31121102001100011211102012112110
41023100333232330012020332
5321341423343344414324
63132005051433514450
7126503336462135400
oct11320775674061076
91542040154365473
10331021433201214
11965234463707a8
1231162208272a26
13112922583bc082
145ba57469c6b70
15284096186c329
hex12d0feef0623e

331021433201214 has 96 divisors (see below), whose sum is σ = 780213265459200. Its totient is φ = 93340463711040.

The previous prime is 331021433201201. The next prime is 331021433201269. The reversal of 331021433201214 is 412102334120133.

It is a super-2 number, since 2×3310214332012142 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51328027 + ... + 57416105.

It is an arithmetic number, because the mean of its divisors is an integer number (8127221515200).

Almost surely, 2331021433201214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331021433201214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390106632729600).

331021433201214 is an abundant number, since it is smaller than the sum of its proper divisors (449191832257986).

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

331021433201214 is a wasteful number, since it uses less digits than its factorization.

331021433201214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6090518 (or 6090511 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 331021433201214 its reverse (412102334120133), we get a palindrome (743123767321347).

The spelling of 331021433201214 in words is "three hundred thirty-one trillion, twenty-one billion, four hundred thirty-three million, two hundred one thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 49 79 98 147 158 237 294 474 553 1106 1659 2341 3318 3871 4682 7023 7742 11613 14046 16387 23226 32774 49161 98322 114709 184939 229418 344127 369878 554817 688254 1109634 1294573 2589146 3883719 6088079 7767438 9062011 12176158 18124022 18264237 27186033 36528474 42616553 54372066 85233106 127849659 255699318 298315871 480958241 596631742 894947613 961916482 1442874723 1789895226 2885749446 3366707687 6733415374 10100123061 14252192939 20200246122 23566953809 28504385878 42756578817 47133907618 70700861427 85513157634 99765350573 141401722854 199530701146 299296051719 598592103438 698357454011 1125923242181 1396714908022 2095072362033 2251846484362 3377769726543 4190144724066 6755539453086 7881462695267 15762925390534 23644388085801 47288776171602 55170238866869 110340477733738 165510716600607 331021433201214