Search a number
-
+
130210300132100 = 225243531951292849
BaseRepresentation
bin11101100110110011110010…
…101011110111101100000100
3122002000222112200210220020022
4131212303302223313230010
5114031331143313211400
61140533441443354312
736266245423300226
oct3546636253675404
9562028480726208
10130210300132100
11385419729380a1
121272b766082998
135786a17807786
1424222d820c416
15100c106e13b85
hex766cf2af7b04

130210300132100 has 144 divisors (see below), whose sum is σ = 294734660774400. Its totient is φ = 49887242496000.

The previous prime is 130210300132069. The next prime is 130210300132103. The reversal of 130210300132100 is 1231003012031.

It is a super-2 number, since 2×1302103001321002 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (130210300132103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 444486476 + ... + 444779324.

It is an arithmetic number, because the mean of its divisors is an integer number (2046768477600).

Almost surely, 2130210300132100 is an apocalyptic number.

130210300132100 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 130210300132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147367330387200).

130210300132100 is an abundant number, since it is smaller than the sum of its proper divisors (164524360642300).

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

130210300132100 is a wasteful number, since it uses less digits than its factorization.

130210300132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294910 (or 294903 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 130210300132100 its reverse (1231003012031), we get a palindrome (131441303144131).

The spelling of 130210300132100 in words is "one hundred thirty trillion, two hundred ten billion, three hundred million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 43 50 53 86 100 106 172 212 215 265 430 530 860 1060 1075 1325 1951 2150 2279 2650 3902 4300 4558 5300 7804 9116 9755 11395 19510 22790 39020 45580 48775 56975 83893 97550 103403 113950 167786 195100 206806 227900 292849 335572 413612 419465 517015 585698 838930 1034030 1171396 1464245 1677860 2068060 2097325 2585075 2928490 4194650 4446329 5170150 5856980 7321225 8389300 8892658 10340300 12592507 14642450 15520997 17785316 22231645 25185014 29284900 31041994 44463290 50370028 62083988 62962535 77604985 88926580 111158225 125925070 155209970 222316450 251850140 310419940 314812675 388024925 444632900 571348399 629625350 667402871 776049850 1142696798 1259250700 1334805742 1552099700 2285393596 2669611484 2856741995 3337014355 5713483990 6674028710 11426967980 13348057420 14283709975 16685071775 24567981157 28567419950 30281465147 33370143550 49135962314 57134839900 60562930294 66740287100 98271924628 121125860588 122839905785 151407325735 245679811570 302814651470 491359623140 605629302940 614199528925 757036628675 1228399057850 1302103001321 1514073257350 2456798115700 2604206002642 3028146514700 5208412005284 6510515006605 13021030013210 26042060026420 32552575033025 65105150066050 130210300132100