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212320313232 = 24319232513769
BaseRepresentation
bin1100010110111101000…
…1101101111110010000
3202022000222010102222220
43011233101231332100
511434313000010412
6241312201101040
721224331612366
oct3055721557620
9668028112886
10212320313232
1182054310955
1235195787780
1317038944651
14a3c247d636
1557c9db768c
hex316f46df90

212320313232 has 120 divisors (see below), whose sum is σ = 579213329760. Its totient is φ = 67010112000.

The previous prime is 212320313167. The next prime is 212320313239. The reversal of 212320313232 is 232313023212.

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

It is not an unprimeable number, because it can be changed into a prime (212320313239) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56331444 + ... + 56335212.

It is an arithmetic number, because the mean of its divisors is an integer number (4826777748).

Almost surely, 2212320313232 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 212320313232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289606664880).

212320313232 is an abundant number, since it is smaller than the sum of its proper divisors (366893016528).

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

212320313232 is a wasteful number, since it uses less digits than its factorization.

212320313232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7069 (or 7044 counting only the distinct ones).

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

Adding to 212320313232 its reverse (232313023212), we get a palindrome (444633336444).

The spelling of 212320313232 in words is "two hundred twelve billion, three hundred twenty million, three hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 361 456 722 912 1083 1444 2166 2888 3251 3769 4332 5776 6502 7538 8664 9753 11307 13004 15076 17328 19506 22614 26008 30152 39012 45228 52016 60304 61769 71611 78024 90456 123538 143222 156048 180912 185307 214833 247076 286444 370614 429666 494152 572888 741228 859332 988304 1145776 1173611 1360609 1482456 1718664 2347222 2721218 2964912 3437328 3520833 4081827 4694444 5442436 7041666 8163654 9388888 10884872 12253019 14083332 16327308 18777776 21769744 24506038 28166664 32654616 36759057 49012076 56333328 65309232 73518114 98024152 147036228 196048304 232807361 294072456 465614722 588144912 698422083 931229444 1396844166 1862458888 2793688332 3724917776 4423339859 5587376664 8846679718 11174753328 13270019577 17693359436 26540039154 35386718872 53080078308 70773437744 106160156616 212320313232