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1313020230210 = 2325131766014089
BaseRepresentation
bin10011000110110110000…
…110101011101001000010
311122112010122012200022200
4103012312012223221002
5133003031134331320
62443105420214030
7163601602544253
oct23066606535102
94575118180280
101313020230210
11466937764927
1219257b99a316
1396a81730280
144779c89cb2a
152424c021290
hex131b61aba42

1313020230210 has 96 divisors (see below), whose sum is σ = 3892718859120. Its totient is φ = 304192917504.

The previous prime is 1313020230143. The next prime is 1313020230229. The reversal of 1313020230210 is 120320203131.

1313020230210 is a `hidden beast` number, since 131 + 30 + 202 + 302 + 1 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 209556119529 + 1103464110681 = 457773^2 + 1050459^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32987155 + ... + 33026934.

Almost surely, 21313020230210 is an apocalyptic number.

1313020230210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1313020230210 is an abundant number, since it is smaller than the sum of its proper divisors (2579698628910).

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

1313020230210 is a wasteful number, since it uses less digits than its factorization.

1313020230210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66014132 (or 66014129 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1313020230210 its reverse (120320203131), we get a palindrome (1433340433341).

The spelling of 1313020230210 in words is "one trillion, three hundred thirteen billion, twenty million, two hundred thirty thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 17 18 26 30 34 39 45 51 65 78 85 90 102 117 130 153 170 195 221 234 255 306 390 442 510 585 663 765 1105 1170 1326 1530 1989 2210 3315 3978 6630 9945 19890 66014089 132028178 198042267 330070445 396084534 594126801 660140890 858183157 990211335 1122239513 1188253602 1716366314 1980422670 2244479026 2574549471 2970634005 3366718539 4290915785 5149098942 5611197565 5941268010 6733437078 7723648413 8581831570 10100155617 11222395130 12872747355 14589113669 15447296826 16833592695 20200311234 25745494710 29178227338 33667185390 38618242065 43767341007 50500778085 72945568345 77236484130 87534682014 101001556170 131302023021 145891136690 218836705035 262604046042 437673410070 656510115105 1313020230210