Search a number
-
+
13131433125340 = 22514941910516757
BaseRepresentation
bin1011111100010110011001…
…1010000010010111011100
31201111100112011010002021121
42333011212122002113130
53210121133340002330
643532255212340324
72523500103624625
oct277054632022734
951440464102247
1013131433125340
114203011733132
121580b624746a4
1374339a7390ba
143357c9986a4c
1517b8a323517a
hexbf1666825dc

13131433125340 has 48 divisors (see below), whose sum is σ = 27827341668000. Its totient is φ = 5204868745472.

The previous prime is 13131433125331. The next prime is 13131433125493. The reversal of 13131433125340 is 4352133413131.

It is a junction number, because it is equal to n+sod(n) for n = 13131433125296 and 13131433125305.

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, 4009759 + ... + 6506998.

It is an arithmetic number, because the mean of its divisors is an integer number (579736284750).

Almost surely, 213131433125340 is an apocalyptic number.

13131433125340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13131433125340 is an abundant number, since it is smaller than the sum of its proper divisors (14695908542660).

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

13131433125340 is a wasteful number, since it uses less digits than its factorization.

13131433125340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10517334 (or 10517332 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 34.

Adding to 13131433125340 its reverse (4352133413131), we get a palindrome (17483566538471).

The spelling of 13131433125340 in words is "thirteen trillion, one hundred thirty-one billion, four hundred thirty-three million, one hundred twenty-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 149 298 419 596 745 838 1490 1676 2095 2980 4190 8380 62431 124862 249724 312155 624310 1248620 10516757 21033514 42067028 52583785 105167570 210335140 1566996793 3133993586 4406521183 6267987172 7834983965 8813042366 15669967930 17626084732 22032605915 31339935860 44065211830 88130423660 656571656267 1313143312534 2626286625068 3282858281335 6565716562670 13131433125340