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13130244424041 = 3411992551210283
BaseRepresentation
bin1011111100010001111110…
…0011100000000101101001
31201111020110022100210122120
42333010133203200011221
53210111220033032131
643531541230341453
72523425461055313
oct277043743400551
951436408323576
1013130244424041
114202561744268
12158089035a889
1374323b39c654
14335715b587b3
1517b833bcc496
hexbf11f8e0169

13130244424041 has 32 divisors (see below), whose sum is σ = 18031264204800. Its totient is φ = 8493710544000.

The previous prime is 13130244424009. The next prime is 13130244424091. The reversal of 13130244424041 is 14042444203131.

It is a happy number.

13130244424041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13130244424041 - 25 = 13130244424009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13130244423993 and 13130244424011.

It is not an unprimeable number, because it can be changed into a prime (13130244424001) 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, 62335686 + ... + 62545968.

It is an arithmetic number, because the mean of its divisors is an integer number (563477006400).

Almost surely, 213130244424041 is an apocalyptic number.

It is an amenable number.

13130244424041 is a deficient number, since it is larger than the sum of its proper divisors (4901019780759).

13130244424041 is a wasteful number, since it uses less digits than its factorization.

13130244424041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213077.

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 13130244424041 its reverse (14042444203131), we get a palindrome (27172688627172).

The spelling of 13130244424041 in words is "thirteen trillion, one hundred thirty billion, two hundred forty-four million, four hundred twenty-four thousand, forty-one".

Divisors: 1 3 41 123 199 597 2551 7653 8159 24477 104591 210283 313773 507649 630849 1522947 8621603 20813609 25864809 41846317 62440827 125538951 536431933 1609295799 1715698997 5147096991 21993709253 65981127759 106749954667 320249864001 4376748141347 13130244424041