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331320211398 = 232113667145631
BaseRepresentation
bin1001101001001000011…
…10010011011111000110
31011200012021102121200200
410310210032103133012
520412020433231043
6412112325551330
732636265221121
oct4644416233706
91150167377620
10331320211398
1111856a692730
1254266575546
1325321887387
1412070a4d3b8
15894216b7d3
hex4d243937c6

331320211398 has 48 divisors (see below), whose sum is σ = 783159017472. Its totient is φ = 100395126000.

The previous prime is 331320211309. The next prime is 331320211399. The reversal of 331320211398 is 893112023133.

It is a happy number.

331320211398 is a `hidden beast` number, since 3 + 31 + 3 + 20 + 211 + 398 = 666.

It is a super-2 number, since 2×3313202113982 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331320211399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7238043 + ... + 7283673.

It is an arithmetic number, because the mean of its divisors is an integer number (16315812864).

Almost surely, 2331320211398 is an apocalyptic number.

331320211398 is an abundant number, since it is smaller than the sum of its proper divisors (451838806074).

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

331320211398 is a wasteful number, since it uses less digits than its factorization.

331320211398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82321 (or 82318 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 331320211398 in words is "three hundred thirty-one billion, three hundred twenty million, two hundred eleven thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 36671 45631 73342 91262 110013 136893 220026 273786 330039 403381 410679 501941 660078 806762 821358 1003882 1210143 1505823 2420286 3011646 3630429 4517469 7260858 9034938 1673334401 3346668802 5020003203 10040006406 15060009609 18406678411 30120019218 36813356822 55220035233 110440070466 165660105699 331320211398