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13044101433041 = 7109229104971167
BaseRepresentation
bin1011110111010001000100…
…0010000100011011010001
31201012000002212010110012102
42331310101002010123101
53202203304431324131
643424213311210145
72514255664530050
oct275642102043321
951160085113172
1013044101433041
114179a77222118
12156804b216955
13738090685223
143314a31cc397
1517949127d1cb
hexbdd110846d1

13044101433041 has 32 divisors (see below), whose sum is σ = 15124623360000. Its totient is φ = 11019038280192.

The previous prime is 13044101433037. The next prime is 13044101433061. The reversal of 13044101433041 is 14033410144031.

It is a cyclic number.

It is not a de Polignac number, because 13044101433041 - 22 = 13044101433037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13044101432995 and 13044101433013.

It is not an unprimeable number, because it can be changed into a prime (13044101433061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 183253040 + ... + 183324206.

It is an arithmetic number, because the mean of its divisors is an integer number (472644480000).

Almost surely, 213044101433041 is an apocalyptic number.

It is an amenable number.

13044101433041 is a deficient number, since it is larger than the sum of its proper divisors (2080521926959).

13044101433041 is a wasteful number, since it uses less digits than its factorization.

13044101433041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72561.

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 13044101433041 its reverse (14033410144031), we get a palindrome (27077511577072).

The spelling of 13044101433041 in words is "thirteen trillion, forty-four billion, one hundred one million, four hundred thirty-three thousand, forty-one".

Divisors: 1 7 109 229 763 1049 1603 7343 24961 71167 114341 174727 240221 498169 800387 1681547 7757203 16297243 26184089 54300421 74654183 114080701 183288623 522579281 1776399487 8137305947 12434796409 17095807907 56961141629 119670655349 1863443061863 13044101433041