Search a number
-
+
13104351215325 = 3252411420525877
BaseRepresentation
bin1011111010110001100000…
…1100101111111011011101
31201101202121202201111211100
42332230120030233323131
53204200202402342300
643512020021143313
72521521016322016
oct276543014577335
951352552644740
1013104351215325
1141a25846a4317
12157786485ab39
13740972aa9986
1433437ad0200d
1517ad1a8c0700
hexbeb1832fedd

13104351215325 has 36 divisors (see below), whose sum is σ = 24043821011028. Its totient is φ = 6818524204800.

The previous prime is 13104351215297. The next prime is 13104351215327. The reversal of 13104351215325 is 52351215340131.

It is a happy number.

13104351215325 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 435 + 1 + 215 + 3 + 2 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 5678012248164 + 7426338967161 = 2382858^2 + 2725131^2 .

It is not a de Polignac number, because 13104351215325 - 215 = 13104351182557 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13104351215325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13104351215327) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 710253714 + ... + 710272163.

It is an arithmetic number, because the mean of its divisors is an integer number (667883916973).

Almost surely, 213104351215325 is an apocalyptic number.

13104351215325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13104351215325 is a deficient number, since it is larger than the sum of its proper divisors (10939469795703).

13104351215325 is a wasteful number, since it uses less digits than its factorization.

13104351215325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420525934 (or 1420525926 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Adding to 13104351215325 its reverse (52351215340131), we get a palindrome (65455566555456).

The spelling of 13104351215325 in words is "thirteen trillion, one hundred four billion, three hundred fifty-one million, two hundred fifteen thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 41 45 75 123 205 225 369 615 1025 1845 3075 9225 1420525877 4261577631 7102629385 12784732893 21307888155 35513146925 58241560957 63923664465 106539440775 174724682871 291207804785 319618322325 524174048613 873623414355 1456039023925 2620870243065 4368117071775 13104351215325