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130110111320 = 23571767407971
BaseRepresentation
bin111100100101100101…
…0101011111001011000
3110102211121010110221212
41321023022223321120
54112431142030240
6135434411122252
712254151461420
oct1711312537130
9412747113855
10130110111320
11501a7847422
1221271743388
13c366948767
146423d6d480
1535b7864165
hex1e4b2abe58

130110111320 has 128 divisors (see below), whose sum is σ = 359537564160. Its totient is φ = 41358366720.

The previous prime is 130110111317. The next prime is 130110111331. The reversal of 130110111320 is 23111011031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 130110111295 and 130110111304.

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, 114935 + ... + 522905.

It is an arithmetic number, because the mean of its divisors is an integer number (2808887220).

Almost surely, 2130110111320 is an apocalyptic number.

130110111320 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 130110111320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179768782080).

130110111320 is an abundant number, since it is smaller than the sum of its proper divisors (229427452840).

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

130110111320 is a wasteful number, since it uses less digits than its factorization.

130110111320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408073 (or 408069 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 130110111320 its reverse (23111011031), we get a palindrome (153221122351).

The spelling of 130110111320 in words is "one hundred thirty billion, one hundred ten million, one hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 67 68 70 85 119 134 136 140 170 238 268 280 335 340 469 476 536 595 670 680 938 952 1139 1190 1340 1876 2278 2345 2380 2680 3752 4556 4690 4760 5695 7973 9112 9380 11390 15946 18760 22780 31892 39865 45560 63784 79730 159460 318920 407971 815942 1631884 2039855 2855797 3263768 4079710 5711594 6935507 8159420 11423188 13871014 14278985 16318840 22846376 27334057 27742028 28557970 34677535 48548549 54668114 55484056 57115940 69355070 97097098 109336228 114231880 136670285 138710140 191338399 194194196 218672456 242742745 273340570 277420280 382676798 388388392 464678969 485485490 546681140 765353596 929357938 956691995 970970980 1093362280 1530707192 1858715876 1913383990 1941941960 2323394845 3252752783 3717431752 3826767980 4646789690 6505505566 7653535960 9293579380 13011011132 16263763915 18587158760 26022022264 32527527830 65055055660 130110111320