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131321321003120 = 24534712269385573
BaseRepresentation
bin11101110110111110100000…
…101100001001100001110000
3122012222012021122120220212012
4131312332200230021201300
5114203032031134044440
61143144103152422052
736442436520005123
oct3566764054114160
9565865248526765
10131321321003120
1138930072191656
121288ab50847928
1358377169370b1
14245ddb325a3ba
15102ae801c7e65
hex776fa0b09870

131321321003120 has 80 divisors (see below), whose sum is σ = 306227713609440. Its totient is φ = 52372744461312.

The previous prime is 131321321003069. The next prime is 131321321003143. The reversal of 131321321003120 is 21300123123131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 340394654 + ... + 340780226.

It is an arithmetic number, because the mean of its divisors is an integer number (3827846420118).

Almost surely, 2131321321003120 is an apocalyptic number.

131321321003120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131321321003120 is an abundant number, since it is smaller than the sum of its proper divisors (174906392606320).

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

131321321003120 is a wasteful number, since it uses less digits than its factorization.

131321321003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398202 (or 398196 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 131321321003120 its reverse (21300123123131), we get a palindrome (152621444126251).

The spelling of 131321321003120 in words is "one hundred thirty-one trillion, three hundred twenty-one billion, three hundred twenty-one million, three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 347 694 1388 1735 2776 3470 5552 6940 12269 13880 24538 27760 49076 61345 98152 122690 196304 245380 385573 490760 771146 981520 1542292 1927865 3084584 3855730 4257343 6169168 7711460 8514686 15422920 17029372 21286715 30845840 34058744 42573430 68117488 85146860 133793831 170293720 267587662 340587440 535175324 668969155 1070350648 1337938310 2140701296 2675876620 4730595137 5351753240 9461190274 10703506480 18922380548 23652975685 37844761096 47305951370 75689522192 94611902740 189223805480 378447610960 1641516512539 3283033025078 6566066050156 8207582562695 13132132100312 16415165125390 26264264200624 32830330250780 65660660501560 131321321003120