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312230213120 = 295717423561
BaseRepresentation
bin1001000101100100101…
…11101111011000000000
31002211220212020020010102
410202302113233120000
520103421413304440
6355234145021532
731362233010350
oct4426227573000
91084825206112
10312230213120
111104638a7451
12506193248a8
132359b8986c7
141117d568b60
1581c6255b15
hex48b25ef600

312230213120 has 80 divisors (see below), whose sum is σ = 855566588448. Its totient is φ = 107050352640.

The previous prime is 312230213093. The next prime is 312230213123. The reversal of 312230213120 is 21312032213.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 312230213092 and 312230213101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312230213123) 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 7 ways as a sum of consecutive naturals, for example, 8693861 + ... + 8729700.

Almost surely, 2312230213120 is an apocalyptic number.

It is an amenable number.

312230213120 is an abundant number, since it is smaller than the sum of its proper divisors (543336375328).

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

312230213120 is an equidigital number, since it uses as much as digits as its factorization.

312230213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17423591 (or 17423575 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 312230213120 its reverse (21312032213), we get a palindrome (333542245333).

The spelling of 312230213120 in words is "three hundred twelve billion, two hundred thirty million, two hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1120 1280 1792 2240 2560 3584 4480 8960 17920 17423561 34847122 69694244 87117805 121964927 139388488 174235610 243929854 278776976 348471220 487859708 557553952 609824635 696942440 975719416 1115107904 1219649270 1393884880 1951438832 2230215808 2439298540 2787769760 3902877664 4460431616 4878597080 5575539520 7805755328 8920863232 9757194160 11151079040 15611510656 19514388320 22302158080 31223021312 39028776640 44604316160 62446042624 78057553280 156115106560 312230213120