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13210210134 = 2341111816277
BaseRepresentation
bin11000100110110001…
…11100111101010110
31021002122100012120000
430103120330331112
5204023303211014
610022500352130
7645234635112
oct142330747526
937078305500
1013210210134
115669901440
1226880a5646
131326ac23b4
148d4648742
15524b26509
hex31363cf56

13210210134 has 80 divisors (see below), whose sum is σ = 32324116176. Its totient is φ = 3999067200.

The previous prime is 13210210129. The next prime is 13210210151. The reversal of 13210210134 is 43101201231.

13210210134 is a `hidden beast` number, since 1 + 321 + 0 + 210 + 134 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 2101404 + ... + 2107680.

Almost surely, 213210210134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13210210134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16162058088).

13210210134 is an abundant number, since it is smaller than the sum of its proper divisors (19113906042).

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

13210210134 is a wasteful number, since it uses less digits than its factorization.

13210210134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7483 (or 7474 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13210210134 its reverse (43101201231), we get a palindrome (56311411365).

The spelling of 13210210134 in words is "thirteen billion, two hundred ten million, two hundred ten thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 594 891 1181 1782 2362 3543 6277 7086 10629 12554 12991 18831 21258 25982 31887 37662 38973 56493 63774 69047 77946 95661 112986 116919 138094 169479 191322 207141 233838 338958 350757 414282 508437 621423 701514 1016874 1052271 1242846 1864269 2104542 3728538 5592807 7413137 11185614 14826274 22239411 44478822 66718233 81544507 133436466 163089014 200154699 244633521 400309398 489267042 600464097 733900563 1200928194 1467801126 2201701689 4403403378 6605105067 13210210134