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131302230332 = 227134094871811
BaseRepresentation
bin111101001001000111…
…0010000100100111100
3110112220200022101210212
41322102032100210330
54122401332332312
6140152554251552
712325535354150
oct1722216204474
9415820271725
10131302230332
1150759760049
1221544a26bb8
13c4c6910a20
1464d840b060
153637344822
hex1e9239093c

131302230332 has 96 divisors (see below), whose sum is σ = 284235248640. Its totient is φ = 51681784320.

The previous prime is 131302230317. The next prime is 131302230359. The reversal of 131302230332 is 233032203131.

It is a junction number, because it is equal to n+sod(n) for n = 131302230298 and 131302230307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72501707 + ... + 72503517.

It is an arithmetic number, because the mean of its divisors is an integer number (2960783840).

Almost surely, 2131302230332 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 131302230332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142117624320).

131302230332 is an abundant number, since it is smaller than the sum of its proper divisors (152933018308).

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

131302230332 is a wasteful number, since it uses less digits than its factorization.

131302230332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2731 (or 2729 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 131302230332 its reverse (233032203131), we get a palindrome (364334433463).

The spelling of 131302230332 in words is "one hundred thirty-one billion, three hundred two million, two hundred thirty thousand, three hundred thirty-two".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 364 409 487 818 974 1636 1811 1948 2863 3409 3622 5317 5726 6331 6818 7244 10634 11452 12662 12677 13636 21268 23543 25324 25354 37219 44317 47086 50708 74438 88634 94172 148876 164801 177268 199183 329602 398366 659204 740699 796732 881957 1394281 1481398 1763914 2589379 2788562 2962796 3527828 5178758 5184893 5577124 6173699 9629087 10357516 10369786 11465441 12347398 18125653 19258174 20739572 22930882 24694796 36251306 38516348 45861764 67403609 72502612 80258087 134807218 160516174 269614436 321032348 360720413 721440826 1442881652 2525042891 4689365369 5050085782 9378730738 10100171564 18757461476 32825557583 65651115166 131302230332