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101323320320 = 210527771443
BaseRepresentation
bin101111001011101010…
…1110010110000000000
3100200112101200222110102
41132113111302300000
53130002232222240
6114314114221532
710214613004145
oct1362725626000
9320471628412
10101323320320
1139a75411262
1217778b848a8
139729a21211
144c92ad23cc
1529804d4815
hex1797572c00

101323320320 has 88 divisors (see below), whose sum is σ = 243938107824. Its totient is φ = 40382447616.

The previous prime is 101323320281. The next prime is 101323320337. The reversal of 101323320320 is 23023323101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 101323320292 and 101323320301.

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 7 ways as a sum of consecutive naturals, for example, 1382519 + ... + 1453961.

Almost surely, 2101323320320 is an apocalyptic number.

101323320320 is a gapful number since it is divisible by the number (10) 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 101323320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121969053912).

101323320320 is an abundant number, since it is smaller than the sum of its proper divisors (142614787504).

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

101323320320 is an equidigital number, since it uses as much as digits as its factorization.

101323320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71745 (or 71727 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 101323320320 its reverse (23023323101), we get a palindrome (124346643421).

The spelling of 101323320320 in words is "one hundred one billion, three hundred twenty-three million, three hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 277 320 512 554 640 1024 1108 1280 1385 2216 2560 2770 4432 5120 5540 8864 11080 17728 22160 35456 44320 70912 71443 88640 141824 142886 177280 283648 285772 354560 357215 571544 709120 714430 1143088 1418240 1428860 2286176 2857720 4572352 5715440 9144704 11430880 18289408 19789711 22861760 36578816 39579422 45723520 73157632 79158844 91447040 98948555 158317688 182894080 197897110 316635376 365788160 395794220 633270752 791588440 1266541504 1583176880 2533083008 3166353760 5066166016 6332707520 10132332032 12665415040 20264664064 25330830080 50661660160 101323320320