Search a number
-
+
13530410235 = 335359279179
BaseRepresentation
bin11001001100111100…
…11010110011111011
31021220221212001112000
430212132122303323
5210202241111420
610114335352043
7656203406106
oct144636326373
937827761460
1013530410235
115813622521
122757382623
131378243704
14924d9973d
15542cc5690
hex32679acfb

13530410235 has 32 divisors (see below), whose sum is σ = 24121152000. Its totient is φ = 7196092128.

The previous prime is 13530410219. The next prime is 13530410251. The reversal of 13530410235 is 53201403531.

13530410235 is a `hidden beast` number, since 13 + 5 + 3 + 0 + 410 + 235 = 666.

It is an interprime number because it is at equal distance from previous prime (13530410219) and next prime (13530410251).

It is not a de Polignac number, because 13530410235 - 24 = 13530410219 is a prime.

It is a super-3 number, since 3×135304102353 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13530410199 and 13530410208.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91125 + ... + 188054.

It is an arithmetic number, because the mean of its divisors is an integer number (753786000).

Almost surely, 213530410235 is an apocalyptic number.

13530410235 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13530410235 is a deficient number, since it is larger than the sum of its proper divisors (10590741765).

13530410235 is a wasteful number, since it uses less digits than its factorization.

13530410235 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279552 (or 279546 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 13530410235 its reverse (53201403531), we get a palindrome (66731813766).

The spelling of 13530410235 in words is "thirteen billion, five hundred thirty million, four hundred ten thousand, two hundred thirty-five".

Divisors: 1 3 5 9 15 27 45 135 359 1077 1795 3231 5385 9693 16155 48465 279179 837537 1395895 2512611 4187685 7537833 12563055 37689165 100225261 300675783 501126305 902027349 1503378915 2706082047 4510136745 13530410235