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21311031230320 = 24513411613309851
BaseRepresentation
bin1001101100001110111000…
…11100100011111101110000
32210110022111102000112001211
410312013130130203331300
510243124442443332240
6113154052543205504
74326446135430526
oct466073434437560
983408442015054
1021311031230320
116876a596088a7
1224822792a6894
13bb781091b7a0
145396608c6316
1526e537468bea
hex1361dc723f70

21311031230320 has 160 divisors (see below), whose sum is σ = 54695060167104. Its totient is φ = 7671985152000.

The previous prime is 21311031230309. The next prime is 21311031230353. The reversal of 21311031230320 is 2303213011312.

It is a junction number, because it is equal to n+sod(n) for n = 21311031230291 and 21311031230300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68623395 + ... + 68933245.

Almost surely, 221311031230320 is an apocalyptic number.

21311031230320 is a gapful number since it is divisible by the number (20) 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 21311031230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27347530083552).

21311031230320 is an abundant number, since it is smaller than the sum of its proper divisors (33384028936784).

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

21311031230320 is a wasteful number, since it uses less digits than its factorization.

21311031230320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311531 (or 311525 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 21311031230320 its reverse (2303213011312), we get a palindrome (23614244241632).

The spelling of 21311031230320 in words is "twenty-one trillion, three hundred eleven billion, thirty-one million, two hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 41 52 65 80 82 104 130 164 205 208 260 328 410 520 533 656 820 1040 1066 1613 1640 2132 2665 3226 3280 4264 5330 6452 8065 8528 10660 12904 16130 20969 21320 25808 32260 41938 42640 64520 66133 83876 104845 129040 132266 167752 209690 264532 309851 330665 335504 419380 529064 619702 661330 838760 859729 1058128 1239404 1322660 1549255 1677520 1719458 2478808 2645320 3098510 3438916 4028063 4298645 4957616 5290640 6197020 6877832 8056126 8597290 12394040 12703891 13755664 16112252 17194580 20140315 24788080 25407782 32224504 34389160 40280630 50815564 63519455 64449008 68778320 80561260 101631128 127038910 161122520 165150583 203262256 254077820 322245040 330301166 499789663 508155640 660602332 825752915 999579326 1016311280 1321204664 1651505830 1999158652 2498948315 2642409328 3303011660 3998317304 4997896630 6497265619 6606023320 7996634608 9995793260 12994531238 13212046640 19991586520 20491376183 25989062476 32486328095 39983173040 40982752366 51978124952 64972656190 81965504732 102456880915 103956249904 129945312380 163931009464 204913761830 259890624760 266387890379 327862018928 409827523660 519781249520 532775780758 819655047320 1065551561516 1331939451895 1639310094640 2131103123032 2663878903790 4262206246064 5327757807580 10655515615160 21311031230320