Search a number
-
+
13101211314324 = 22327219253388177
BaseRepresentation
bin1011111010100101110100…
…0010111110100010010100
31201101110111221110000101200
42332221131002332202110
53204122240044024244
643510340254152500
72521350141520500
oct276513502764224
951343457400350
1013101211314324
1141a121326a211
1215771291b2730
137405924211a3
1433415dcbd300
1517abd4de4669
hexbea5d0be894

13101211314324 has 324 divisors, whose sum is σ = 41425322830164. Its totient is φ = 3479274279936.

The previous prime is 13101211314283. The next prime is 13101211314341. The reversal of 13101211314324 is 42341311210131.

13101211314324 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 1 + 21 + 1 + 314 + 324 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4222408522500 + 8878802791824 = 2054850^2 + 2979732^2 .

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 107 ways as a sum of consecutive naturals, for example, 33556524 + ... + 33944700.

It is an arithmetic number, because the mean of its divisors is an integer number (127855934661).

Almost surely, 213101211314324 is an apocalyptic number.

13101211314324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13101211314324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20712661415082).

13101211314324 is an abundant number, since it is smaller than the sum of its proper divisors (28324111515840).

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

13101211314324 is a wasteful number, since it uses less digits than its factorization.

13101211314324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388292 (or 388261 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 13101211314324 its reverse (42341311210131), we get a palindrome (55442522524455).

The spelling of 13101211314324 in words is "thirteen trillion, one hundred one billion, two hundred eleven million, three hundred fourteen thousand, three hundred twenty-four".