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312332030220 = 223571279581429
BaseRepresentation
bin1001000101110000111…
…00001001000100001100
31002212011221211001221010
410202320130021010030
520104123444431340
6355252223205220
731364610311250
oct4427034110414
91085157731833
10312332030220
1111050631a111
1250647446810
13235b69c7302
141118ccb0260
1581d0168b80
hex48b870910c

312332030220 has 96 divisors (see below), whose sum is σ = 1000245657600. Its totient is φ = 71334238464.

The previous prime is 312332030161. The next prime is 312332030221. The reversal of 312332030220 is 22030233213.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (312332030221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 246466 + ... + 827894.

It is an arithmetic number, because the mean of its divisors is an integer number (10419225600).

Almost surely, 2312332030220 is an apocalyptic number.

312332030220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312332030220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500122828800).

312332030220 is an abundant number, since it is smaller than the sum of its proper divisors (687913627380).

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

312332030220 is a wasteful number, since it uses less digits than its factorization.

312332030220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582727 (or 582725 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 312332030220 its reverse (22030233213), we get a palindrome (334362263433).

The spelling of 312332030220 in words is "three hundred twelve billion, three hundred thirty-two million, thirty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 1279 2558 3837 5116 6395 7674 8953 12790 15348 17906 19185 25580 26859 35812 38370 44765 53718 76740 89530 107436 134295 179060 268590 537180 581429 1162858 1744287 2325716 2907145 3488574 4070003 5814290 6977148 8140006 8721435 11628580 12210009 16280012 17442870 20350015 24420018 34885740 40700030 48840036 61050045 81400060 122100090 244200180 743647691 1487295382 2230943073 2974590764 3718238455 4461886146 5205533837 7436476910 8923772292 10411067674 11154715365 14872953820 15616601511 20822135348 22309430730 26027669185 31233203022 44618861460 52055338370 62466406044 78083007555 104110676740 156166015110 312332030220