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13144304151 = 3211132770749
BaseRepresentation
bin11000011110111011…
…00010101000010111
31020221001022211112200
430033131202220113
5203404420213101
610012144015543
7643504512306
oct141735425027
936831284480
1013144304151
115635687290
12266a0015b3
131316258184
148c99b043d
1551de58986
hex30f762a17

13144304151 has 12 divisors (see below), whose sum is σ = 20712237000. Its totient is φ = 7966244880.

The previous prime is 13144304149. The next prime is 13144304183. The reversal of 13144304151 is 15140344131.

13144304151 is a `hidden beast` number, since 131 + 443 + 0 + 41 + 51 = 666.

It is not a de Polignac number, because 13144304151 - 21 = 13144304149 is a prime.

It is a super-2 number, since 2×131443041512 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13144304111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66385276 + ... + 66385473.

It is an arithmetic number, because the mean of its divisors is an integer number (1726019750).

Almost surely, 213144304151 is an apocalyptic number.

13144304151 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13144304151 is a deficient number, since it is larger than the sum of its proper divisors (7567932849).

13144304151 is a wasteful number, since it uses less digits than its factorization.

13144304151 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132770766 (or 132770763 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 13144304151 its reverse (15140344131), we get a palindrome (28284648282).

The spelling of 13144304151 in words is "thirteen billion, one hundred forty-four million, three hundred four thousand, one hundred fifty-one".

Divisors: 1 3 9 11 33 99 132770749 398312247 1194936741 1460478239 4381434717 13144304151