Search a number
-
+
13284142201 = 1119295993659
BaseRepresentation
bin11000101111100101…
…11110110001111001
31021021210110100021201
430113302332301321
5204201220022301
610034101134201
7650123226361
oct142762766171
937253410251
1013284142201
1156a7608720
1226a89ba361
131339209895
149003b19a1
1552b37c201
hex317cbec79

13284142201 has 32 divisors (see below), whose sum is σ = 15811200000. Its totient is φ = 11024919360.

The previous prime is 13284142189. The next prime is 13284142217. The reversal of 13284142201 is 10224148231.

It is a cyclic number.

It is not a de Polignac number, because 13284142201 - 223 = 13275753593 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13284142201.

It is not an unprimeable number, because it can be changed into a prime (13284142241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3628710 + ... + 3632368.

It is an arithmetic number, because the mean of its divisors is an integer number (494100000).

Almost surely, 213284142201 is an apocalyptic number.

13284142201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13284142201 is a deficient number, since it is larger than the sum of its proper divisors (2527057799).

13284142201 is a wasteful number, since it uses less digits than its factorization.

13284142201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4317.

The product of its (nonzero) digits is 3072, while the sum is 28.

The spelling of 13284142201 in words is "thirteen billion, two hundred eighty-four million, one hundred forty-two thousand, two hundred one".

Divisors: 1 11 19 29 209 319 551 599 3659 6061 6589 11381 17371 40249 69521 106111 125191 191081 330049 764731 1167221 2016109 2191741 3630539 22177199 24109151 41643079 63560489 458073869 699165379 1207649291 13284142201