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331104296322 = 2345328532
BaseRepresentation
bin1001101000101110101…
…10101001110110000010
31011122122020010222220000
410310113112221312002
520411100144440242
6412035054100430
732631034040112
oct4642726516602
91148566128800
10331104296322
1111846981a518
12542061aa716
13252b8c1a087
14120500c7042
15892d21ba4c
hex4d175a9d82

331104296322 has 90 divisors (see below), whose sum is σ = 757069013547. Its totient is φ = 108158734944.

The previous prime is 331104296317. The next prime is 331104296339. The reversal of 331104296322 is 223692401133.

331104296322 is a `hidden beast` number, since 3 + 3 + 1 + 10 + 4 + 2 + 9 + 632 + 2 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 68313754161 + 262790542161 = 261369^2 + 512631^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=406881.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 388164048 + ... + 388164900.

Almost surely, 2331104296322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331104296322

331104296322 is an abundant number, since it is smaller than the sum of its proper divisors (425964717225).

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

331104296322 is an frugal number, since it uses more digits than its factorization.

331104296322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1826 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

Adding to 331104296322 its reverse (223692401133), we get a palindrome (554796697455).

The spelling of 331104296322 in words is "three hundred thirty-one billion, one hundred four million, two hundred ninety-six thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 53 54 81 106 159 162 318 477 853 954 1431 1706 2559 2809 2862 4293 5118 5618 7677 8427 8586 15354 16854 23031 25281 45209 46062 50562 69093 75843 90418 135627 138186 151686 227529 271254 406881 455058 727609 813762 1220643 1455218 2182827 2396077 2441286 3661929 4365654 4792154 6548481 7188231 7323858 13096962 14376462 19645443 21564693 38563277 39290886 43129386 58936329 64694079 77126554 115689831 117872658 129388158 194082237 231379662 347069493 388164474 694138986 1041208479 2043853681 2082416958 3123625437 4087707362 6131561043 6247250874 12263122086 18394683129 36789366258 55184049387 110368098774 165552148161 331104296322