Search a number
-
+
13104230322141 = 3471710712705617
BaseRepresentation
bin1011111010110001000011…
…1111100100111111011101
31201101202022100020111120000
42332230100333210333131
53204144430430302031
643512000022044513
72521515020620530
oct276542077447735
951352270214500
1013104230322141
1141a25224324a2
121577830279739
13740953a2c34a
14334368c32a17
1517ad0ee903e6
hexbeb10fe4fdd

13104230322141 has 80 divisors (see below), whose sum is σ = 23909330307456. Its totient is φ = 6981786814464.

The previous prime is 13104230322133. The next prime is 13104230322173. The reversal of 13104230322141 is 14122303240131.

13104230322141 is a `hidden beast` number, since 1 + 3 + 10 + 423 + 0 + 3 + 221 + 4 + 1 = 666.

It is not a de Polignac number, because 13104230322141 - 23 = 13104230322133 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13104230322191) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5321436 + ... + 7384181.

Almost surely, 213104230322141 is an apocalyptic number.

It is an amenable number.

13104230322141 is a deficient number, since it is larger than the sum of its proper divisors (10805099985315).

13104230322141 is a wasteful number, since it uses less digits than its factorization.

13104230322141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12705760 (or 12705751 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 13104230322141 its reverse (14122303240131), we get a palindrome (27226533562272).

The spelling of 13104230322141 in words is "thirteen trillion, one hundred four billion, two hundred thirty million, three hundred twenty-two thousand, one hundred forty-one".

Divisors: 1 3 7 9 17 21 27 51 63 81 107 119 153 189 321 357 459 567 749 963 1071 1377 1819 2247 2889 3213 5457 6741 8667 9639 12733 16371 20223 38199 49113 60669 114597 147339 343791 1031373 12705617 38116851 88939319 114350553 215995489 266817957 343051659 647986467 800453871 1029154977 1359501019 1511968423 1943959401 2401361613 4078503057 4535905269 5831878203 7204084839 9516507133 12235509171 13607715807 17495634609 23111517323 28549521399 36706527513 40823147421 69334551969 85648564197 110119582539 122469442263 161780621261 208003655907 256945692591 485341863783 624010967721 770837077773 1456025591349 1872032903163 4368076774047 13104230322141