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131110203300 = 223521746755049
BaseRepresentation
bin111101000011011000…
…1101110111110100100
3110112102021222102020120
41322012301232332210
54122003203001200
6140121534401540
712321014224446
oct1720661567644
9415367872216
10131110203300
115067032331a
12214b06602b0
13c495bb876b
1464bab02496
1536255629a0
hex1e86c6efa4

131110203300 has 144 divisors (see below), whose sum is σ = 402527361600. Its totient is φ = 32835031040.

The previous prime is 131110203241. The next prime is 131110203311. The reversal of 131110203300 is 3302011131.

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 131110203300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2354176 + ... + 2409224.

It is an arithmetic number, because the mean of its divisors is an integer number (2795328900).

Almost surely, 2131110203300 is an apocalyptic number.

131110203300 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 131110203300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201263680800).

131110203300 is an abundant number, since it is smaller than the sum of its proper divisors (271417158300).

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

131110203300 is a wasteful number, since it uses less digits than its factorization.

131110203300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55550 (or 55543 counting only the distinct ones).

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

Adding to 131110203300 its reverse (3302011131), we get a palindrome (134412214431).

The spelling of 131110203300 in words is "one hundred thirty-one billion, one hundred ten million, two hundred three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 467 510 850 934 1020 1275 1401 1700 1868 2335 2550 2802 4670 5100 5604 7005 7939 9340 11675 14010 15878 23350 23817 28020 31756 35025 39695 46700 47634 55049 70050 79390 95268 110098 119085 140100 158780 165147 198475 220196 238170 275245 330294 396950 476340 550490 595425 660588 793900 825735 935833 1100980 1190850 1376225 1651470 1871666 2381700 2752450 2807499 3302940 3743332 4128675 4679165 5504900 5614998 8257350 9358330 11229996 14037495 16514700 18716660 23395825 25707883 28074990 46791650 51415766 56149980 70187475 77123649 93583300 102831532 128539415 140374950 154247298 257078830 280749900 308494596 385618245 437034011 514157660 642697075 771236490 874068022 1285394150 1311102033 1542472980 1748136044 1928091225 2185170055 2570788300 2622204066 3856182450 4370340110 5244408132 6555510165 7712364900 8740680220 10925850275 13111020330 21851700550 26222040660 32777550825 43703401100 65555101650 131110203300