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101310023320 = 2351132965617
BaseRepresentation
bin101111001011010001…
…1000100011010011000
3100200111110200102101221
41132112203010122120
53124440331221240
6114312521221424
710214361663322
oct1362643043230
9320443612357
10101310023320
1139a6895a000
1217774631874
139727046a7c
144c91030612
15297e259a4a
hex17968c4698

101310023320 has 128 divisors (see below), whose sum is σ = 259374830400. Its totient is φ = 35569121280.

The previous prime is 101310023239. The next prime is 101310023323. The reversal of 101310023320 is 23320013101.

It is a junction number, because it is equal to n+sod(n) for n = 101310023294 and 101310023303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101310023323) by changing a digit.

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, 1511152 + ... + 1576768.

Almost surely, 2101310023320 is an apocalyptic number.

101310023320 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 101310023320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129687415200).

101310023320 is an abundant number, since it is smaller than the sum of its proper divisors (158064807080).

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

101310023320 is a wasteful number, since it uses less digits than its factorization.

101310023320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65690 (or 65664 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 101310023320 its reverse (23320013101), we get a palindrome (124630036421).

The spelling of 101310023320 in words is "one hundred one billion, three hundred ten million, twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 88 110 116 121 145 220 232 242 290 319 440 484 580 605 638 968 1160 1210 1276 1331 1595 2420 2552 2662 3190 3509 4840 5324 6380 6655 7018 10648 12760 13310 14036 17545 26620 28072 35090 38599 53240 65617 70180 77198 131234 140360 154396 192995 262468 308792 328085 385990 524936 656170 721787 771980 1312340 1443574 1543960 1902893 2624680 2887148 3608935 3805786 5774296 7217870 7611572 7939657 9514465 14435740 15223144 15879314 19028930 20931823 28871480 31758628 38057860 39698285 41863646 63517256 76115720 79396570 83727292 87336227 104659115 158793140 167454584 174672454 209318230 230250053 317586280 349344908 418636460 436681135 460500106 698689816 837272920 873362270 921000212 1151250265 1746724540 1842000424 2302500530 2532750583 3493449080 4605001060 5065501166 9210002120 10131002332 12663752915 20262004664 25327505830 50655011660 101310023320