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312312230232 = 23331228614733
BaseRepresentation
bin1001000101101110100…
…00100111000101011000
31002212010120120010110020
410202313100213011120
520104103412331412
6355250234550440
731364250104322
oct4426720470530
91085116503406
10312312230232
111104a6126092
1250640898420
13235b2883c42
141118a3d8612
1581cd55718c
hex48b7427158

312312230232 has 96 divisors (see below), whose sum is σ = 807232022640. Its totient is φ = 100689388800.

The previous prime is 312312230207. The next prime is 312312230239. The reversal of 312312230232 is 232032213213.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312312230239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65983738 + ... + 65988470.

Almost surely, 2312312230232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312312230232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403616011320).

312312230232 is an abundant number, since it is smaller than the sum of its proper divisors (494919792408).

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

312312230232 is a wasteful number, since it uses less digits than its factorization.

312312230232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7665 (or 7630 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 312312230232 its reverse (232032213213), we get a palindrome (544344443445).

The spelling of 312312230232 in words is "three hundred twelve billion, three hundred twelve million, two hundred thirty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 961 1922 2861 2883 3844 4733 5722 5766 7688 8583 9466 11444 11532 14199 17166 18932 22888 23064 28398 34332 37864 56796 68664 88691 113592 146723 177382 266073 293446 354764 440169 532146 586892 709528 880338 1064292 1173784 1760676 2128584 2749421 3521352 4548413 5498842 8248263 9096826 10997684 13541113 13645239 16496526 18193652 21995368 27082226 27290478 32993052 36387304 40623339 54164452 54580956 65986104 81246678 108328904 109161912 162493356 324986712 419774503 839549006 1259323509 1679098012 2518647018 3358196024 5037294036 10074588072 13013009593 26026019186 39039028779 52052038372 78078057558 104104076744 156156115116 312312230232