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312300223120 = 24517536764667
BaseRepresentation
bin1001000101101101000…
…10110011101010010000
31002212002201222002210101
410202312202303222100
520104042324114440
6355245125342144
731364043045214
oct4426642635220
91085081862711
10312300223120
1111049a374a56
1250638867954
13235b023b942
1411188990944
1581cc48469a
hex48b68b3a90

312300223120 has 160 divisors (see below), whose sum is σ = 795019079808. Its totient is φ = 113630060544.

The previous prime is 312300223097. The next prime is 312300223159. The reversal of 312300223120 is 21322003213.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4797027 + ... + 4861693.

Almost surely, 2312300223120 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 312300223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397509539904).

312300223120 is an abundant number, since it is smaller than the sum of its proper divisors (482718856688).

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

312300223120 is a wasteful number, since it uses less digits than its factorization.

312300223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64817 (or 64811 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 312300223120 its reverse (21322003213), we get a palindrome (333622226333).

The spelling of 312300223120 in words is "three hundred twelve billion, three hundred million, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 53 67 68 80 85 106 134 136 170 212 265 268 272 335 340 424 530 536 670 680 848 901 1060 1072 1139 1340 1360 1802 2120 2278 2680 3551 3604 4240 4505 4556 5360 5695 7102 7208 9010 9112 11390 14204 14416 17755 18020 18224 22780 28408 35510 36040 45560 56816 60367 64667 71020 72080 91120 120734 129334 142040 241468 258668 284080 301835 323335 482936 517336 603670 646670 965872 1034672 1099339 1207340 1293340 2198678 2414680 2586680 3427351 4332689 4397356 4829360 5173360 5496695 6854702 8665378 8794712 10993390 13709404 17136755 17330756 17589424 21663445 21986780 27418808 34273510 34661512 43326890 43973560 54837616 58264967 68547020 69323024 73655713 86653780 87947120 116529934 137094040 147311426 173307560 229632517 233059868 274188080 291324835 294622852 346615120 368278565 459265034 466119736 582649670 589245704 736557130 918530068 932239472 1148162585 1165299340 1178491408 1473114260 1837060136 2296325170 2330598680 2946228520 3674120272 3903752789 4592650340 4661197360 5892457040 7807505578 9185300680 15615011156 18370601360 19518763945 31230022312 39037527890 62460044624 78075055780 156150111560 312300223120