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101130310320 = 243513291117709
BaseRepresentation
bin101111000101111010…
…1100001001010110000
3100200000221112001111220
41132023311201022300
53124103324412240
6114243021305040
710210050311604
oct1361365411260
9320027461456
10101130310320
1139986472a66
1217724405180
1396c8a43710
144c7520d504
15296d5ab5d0
hex178bd612b0

101130310320 has 160 divisors (see below), whose sum is σ = 349262020800. Its totient is φ = 24035192832.

The previous prime is 101130310289. The next prime is 101130310327. The reversal of 101130310320 is 23013031101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101130310320.

It is not an unprimeable number, because it can be changed into a prime (101130310327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 468375 + ... + 649334.

It is an arithmetic number, because the mean of its divisors is an integer number (2182887630).

Almost surely, 2101130310320 is an apocalyptic number.

101130310320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101130310320 is an abundant number, since it is smaller than the sum of its proper divisors (248131710480).

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

101130310320 is a wasteful number, since it uses less digits than its factorization.

101130310320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117767 (or 1117761 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 101130310320 its reverse (23013031101), we get a palindrome (124143341421).

The spelling of 101130310320 in words is "one hundred one billion, one hundred thirty million, three hundred ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 29 30 39 40 48 52 58 60 65 78 80 87 104 116 120 130 145 156 174 195 208 232 240 260 290 312 348 377 390 435 464 520 580 624 696 754 780 870 1040 1131 1160 1392 1508 1560 1740 1885 2262 2320 3016 3120 3480 3770 4524 5655 6032 6960 7540 9048 11310 15080 18096 22620 30160 45240 90480 1117709 2235418 3353127 4470836 5588545 6706254 8941672 11177090 13412508 14530217 16765635 17883344 22354180 26825016 29060434 32413561 33531270 43590651 44708360 53650032 58120868 64827122 67062540 72651085 87181302 89416720 97240683 116241736 129654244 134125080 145302170 162067805 174362604 194481366 217953255 232483472 259308488 268250160 290604340 324135610 348725208 388962732 421376293 435906510 486203415 518616976 581208680 648271220 697450416 777925464 842752586 871813020 972406830 1162417360 1264128879 1296542440 1555850928 1685505172 1743626040 1944813660 2106881465 2528257758 2593084880 3371010344 3487252080 3889627320 4213762930 5056515516 6320644395 6742020688 7779254640 8427525860 10113031032 12641288790 16855051720 20226062064 25282577580 33710103440 50565155160 101130310320