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20313201312 = 25321511672797
BaseRepresentation
bin10010111010110000…
…101101101010100000
31221102122212112200100
4102322300231222200
5313100134420222
613155354222400
71316244235155
oct227260555240
957378775610
1020313201312
1186842aa888
123b2aa24a00
131bb9548461
14da9b3422c
157dd4d64ac
hex4bac2daa0

20313201312 has 144 divisors (see below), whose sum is σ = 58517327232. Its totient is φ = 6683558400.

The previous prime is 20313201301. The next prime is 20313201343. The reversal of 20313201312 is 21310231302.

20313201312 is a `hidden beast` number, since 2 + 0 + 31 + 320 + 1 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×203132013122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7261098 + ... + 7263894.

It is an arithmetic number, because the mean of its divisors is an integer number (406370328).

Almost surely, 220313201312 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 20313201312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29258663616).

20313201312 is an abundant number, since it is smaller than the sum of its proper divisors (38204125920).

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

20313201312 is a wasteful number, since it uses less digits than its factorization.

20313201312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3131 (or 3120 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20313201312 its reverse (21310231302), we get a palindrome (41623432614).

The spelling of 20313201312 in words is "twenty billion, three hundred thirteen million, two hundred one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 151 167 288 302 334 453 501 604 668 906 1002 1208 1336 1359 1503 1812 2004 2416 2672 2718 2797 3006 3624 4008 4832 5344 5436 5594 6012 7248 8016 8391 10872 11188 12024 14496 16032 16782 21744 22376 24048 25173 25217 33564 43488 44752 48096 50346 50434 67128 75651 89504 100692 100868 134256 151302 201384 201736 226953 268512 302604 402768 403472 422347 453906 467099 605208 805536 806944 844694 907812 934198 1210416 1267041 1401297 1689388 1815624 1868396 2420832 2534082 2802594 3378776 3631248 3736792 3801123 4203891 5068164 5605188 6757552 7262496 7473584 7602246 8407782 10136328 11210376 13515104 14947168 15204492 16815564 20272656 22420752 30408984 33631128 40545312 44841504 60817968 67262256 70531949 121635936 134524512 141063898 211595847 282127796 423191694 564255592 634787541 846383388 1128511184 1269575082 1692766776 2257022368 2539150164 3385533552 5078300328 6771067104 10156600656 20313201312