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13131053200404 = 22321393731370327
BaseRepresentation
bin1011111100010100111111…
…0000101111010000010100
31201111022112200012220020200
42333011033300233100110
53210114344104403104
643532153401300500
72523454511414016
oct277051760572024
951438480186220
1013131053200404
114202937229987
121580a77194730
13743339b06149
1433579132a1b6
1517b87ebd9b39
hexbf14fc2f414

13131053200404 has 72 divisors (see below), whose sum is σ = 33432549958080. Its totient is φ = 4345350147072.

The previous prime is 13131053200403. The next prime is 13131053200411. The reversal of 13131053200404 is 40400235013131.

It is a happy number.

13131053200404 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 1 + 0 + 53 + 200 + 404 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131053200403) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 186679089 + ... + 186749415.

It is an arithmetic number, because the mean of its divisors is an integer number (464340971640).

Almost surely, 213131053200404 is an apocalyptic number.

It is an amenable number.

13131053200404 is an abundant number, since it is smaller than the sum of its proper divisors (20301496757676).

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

13131053200404 is a wasteful number, since it uses less digits than its factorization.

13131053200404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107789 (or 107784 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 13131053200404 its reverse (40400235013131), we get a palindrome (53531288213535).

The spelling of 13131053200404 in words is "thirteen trillion, one hundred thirty-one billion, fifty-three million, two hundred thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 139 278 417 556 834 1251 1668 2502 5004 37313 70327 74626 111939 140654 149252 210981 223878 281308 335817 421962 447756 632943 671634 843924 1265886 1343268 2531772 5186507 9775453 10373014 15559521 19550906 20746028 29326359 31119042 39101812 46678563 58652718 62238084 87979077 93357126 117305436 175958154 186714252 351916308 2624111351 5248222702 7872334053 10496445404 15744668106 23617002159 31489336212 47234004318 94468008636 364751477789 729502955578 1094254433367 1459005911156 2188508866734 3282763300101 4377017733468 6565526600202 13131053200404