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130210322312 = 23779831013511
BaseRepresentation
bin111100101000100100…
…0111101011110001000
3110110002120200201121002
41321101020331132020
54113132320303222
6135452351034132
712256506322640
oct1712110753610
9413076621532
10130210322312
1150249372424
122129b20b948
13c3816342c5
1464333b7520
1535c155b392
hex1e5123d788

130210322312 has 128 divisors (see below), whose sum is σ = 288871833600. Its totient is φ = 53879904000.

The previous prime is 130210322311. The next prime is 130210322339. The reversal of 130210322312 is 213223012031.

It is not an unprimeable number, because it can be changed into a prime (130210322311) 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, 37084637 + ... + 37088147.

It is an arithmetic number, because the mean of its divisors is an integer number (2256811200).

Almost surely, 2130210322312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130210322312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144435916800).

130210322312 is an abundant number, since it is smaller than the sum of its proper divisors (158661511288).

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

130210322312 is a wasteful number, since it uses less digits than its factorization.

130210322312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3787 (or 3783 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 130210322312 its reverse (213223012031), we get a palindrome (343433334343).

The spelling of 130210322312 in words is "one hundred thirty billion, two hundred ten million, three hundred twenty-two thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 56 79 83 101 158 166 202 316 332 404 553 581 632 664 707 808 1106 1162 1414 2212 2324 2828 3511 4424 4648 5656 6557 7022 7979 8383 13114 14044 15958 16766 24577 26228 28088 31916 33532 45899 49154 52456 55853 58681 63832 67064 91798 98308 111706 117362 183596 196616 223412 234724 277369 291413 354611 367192 446824 469448 554738 582826 662257 709222 1109476 1165652 1324514 1418444 1941583 2039891 2218952 2331304 2482277 2649028 2836888 3883166 4079782 4635799 4964554 5298056 7766332 8159564 9271598 9929108 15532664 16319128 18543196 19858216 23021627 28014269 29432713 37086392 46043254 56028538 58865426 92086508 112057076 117730852 161151389 184173016 196099883 206028991 224114152 235461704 322302778 392199766 412057982 644605556 784399532 824115964 1289211112 1568799064 1648231928 2325184327 4650368654 9300737308 16276290289 18601474616 32552580578 65105161156 130210322312