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312333434402132 = 2211132116613915061
BaseRepresentation
bin100011100000100001100101…
…1011010001011010101010100
31111221212210012001200022210202
41013001003023122023111110
5311414232333201332012
63024135555434440032
7122534226445243133
oct10701031332132524
91457783161608722
10312333434402132
1190578958227820
122b04438b293018
1310537bbb697ab0
14571b039b6591a
152619799317cc2
hex11c10cb68b554

312333434402132 has 96 divisors (see below), whose sum is σ = 646159622521728. Its totient is φ = 130230555840000.

The previous prime is 312333434402107. The next prime is 312333434402189. The reversal of 312333434402132 is 231204434333213.

It is a super-2 number, since 2×3123334344021322 (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 31 ways as a sum of consecutive naturals, for example, 77819882 + ... + 81734942.

It is an arithmetic number, because the mean of its divisors is an integer number (6730829401268).

Almost surely, 2312333434402132 is an apocalyptic number.

It is an amenable number.

312333434402132 is an abundant number, since it is smaller than the sum of its proper divisors (333826188119596).

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

312333434402132 is a wasteful number, since it uses less digits than its factorization.

312333434402132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3915961 (or 3915959 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 38.

Adding to 312333434402132 its reverse (231204434333213), we get a palindrome (543537868735345).

The spelling of 312333434402132 in words is "three hundred twelve trillion, three hundred thirty-three billion, four hundred thirty-four million, four hundred two thousand, one hundred thirty-two".

Divisors: 1 2 4 11 13 22 26 44 52 143 211 286 422 572 661 844 1322 2321 2644 2743 4642 5486 7271 8593 9284 10972 14542 17186 29084 30173 34372 60346 94523 120692 139471 189046 278942 378092 557884 1534181 1813123 3068362 3626246 3915061 6136724 7252492 7830122 15660244 19944353 39888706 43065671 50895793 79777412 86131342 101791586 172262684 203583172 559853723 826077871 1119707446 1652155742 2239414892 2587855321 3304311484 5175710642 9086856581 10351421284 10739012323 18173713162 21478024646 28466408531 33642119173 36347426324 42956049292 56932817062 67284238346 113865634124 118129135553 134568476692 236258271106 370063310903 472516542212 546037472731 740126621806 1092074945462 1480253243612 2184149890924 6006412200041 7098487145503 12012824400082 14196974291006 24025648800164 28393948582012 78083358600533 156166717201066 312333434402132