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1313150041530 = 232517250486353
BaseRepresentation
bin10011000110111101110…
…101110111110110111010
311122112110200110202222100
4103012331311313312322
5133003312402312110
62443130334404230
7163605040121025
oct23067565676672
94575420422870
101313150041530
114669a3a68008
121925b7360676
1396aa25b0bc2
14477b1c101bc
1524258613bc0
hex131bdd77dba

1313150041530 has 72 divisors (see below), whose sum is σ = 3626838698652. Its totient is φ = 329574905856.

The previous prime is 1313150041507. The next prime is 1313150041543. The reversal of 1313150041530 is 351400513131.

It is a happy number.

1313150041530 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 1 + 500 + 4 + 153 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1018115306289 + 295034735241 = 1009017^2 + 543171^2 .

It is a super-4 number, since 4×13131500415304 (a number of 50 digits) contains 4444 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1313150041494 and 1313150041503.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25217167 + ... + 25269186.

Almost surely, 21313150041530 is an apocalyptic number.

1313150041530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1313150041530 is an abundant number, since it is smaller than the sum of its proper divisors (2313688657122).

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

1313150041530 is a wasteful number, since it uses less digits than its factorization.

1313150041530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50486400 (or 50486380 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 1313150041530 its reverse (351400513131), we get a palindrome (1664550554661).

The spelling of 1313150041530 in words is "one trillion, three hundred thirteen billion, one hundred fifty million, forty-one thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 289 306 510 578 765 867 1445 1530 1734 2601 2890 4335 5202 8670 13005 26010 50486353 100972706 151459059 252431765 302918118 454377177 504863530 757295295 858268001 908754354 1514590590 1716536002 2271885885 2574804003 4291340005 4543771770 5149608006 7724412009 8582680010 12874020015 14590556017 15448824018 25748040030 29181112034 38622060045 43771668051 72952780085 77244120090 87543336102 131315004153 145905560170 218858340255 262630008306 437716680510 656575020765 1313150041530