Search a number
-
+
13241421140130 = 23351729974792141
BaseRepresentation
bin1100000010110000001000…
…1101000001000010100010
31201212212102101222011001000
43000230002031001002202
53213421412302441010
644055005213252430
72534442521420031
oct300540215010242
951785371864030
1013241421140130
114245723037607
12159a339194116
137508785ca961
1433ac6132a718
1517e68e2617c0
hexc0b023410a2

13241421140130 has 512 divisors, whose sum is σ = 39175363584000. Its totient is φ = 3167549521920.

The previous prime is 13241421140063. The next prime is 13241421140153. The reversal of 13241421140130 is 3104112414231.

It is a happy number.

13241421140130 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 14 + 211 + 401 + 30 = 666.

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 = 13241421140094 and 13241421140103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6184688860 + ... + 6184691000.

It is an arithmetic number, because the mean of its divisors is an integer number (76514382000).

Almost surely, 213241421140130 is an apocalyptic number.

13241421140130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13241421140130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19587681792000).

13241421140130 is an abundant number, since it is smaller than the sum of its proper divisors (25933942443870).

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

13241421140130 is a wasteful number, since it uses less digits than its factorization.

13241421140130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2779 (or 2773 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 13241421140130 its reverse (3104112414231), we get a palindrome (16345533554361).

The spelling of 13241421140130 in words is "thirteen trillion, two hundred forty-one billion, four hundred twenty-one million, one hundred forty thousand, one hundred thirty".