Search a number
-
+
13100101220304 = 243273265227187
BaseRepresentation
bin1011111010100001101011…
…1000010011011111010000
31201101100122120121101200100
42332220122320103133100
53204113001403022204
643510034201052400
72521310502054000
oct276503270233720
951340576541610
1013100101220304
1141a07a369013a
121576a79487100
13740446447c17
143340966b4000
1517ab6c717a39
hexbea1ae137d0

13100101220304 has 120 divisors (see below), whose sum is σ = 42754622705600. Its totient is φ = 3742886048832.

The previous prime is 13100101220303. The next prime is 13100101220321. The reversal of 13100101220304 is 40302210100131.

13100101220304 is a `hidden beast` number, since 1 + 310 + 0 + 101 + 220 + 30 + 4 = 666.

It is a super-2 number, since 2×131001012203042 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13100101220303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132564202 + ... + 132662985.

Almost surely, 213100101220304 is an apocalyptic number.

13100101220304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13100101220304 is an abundant number, since it is smaller than the sum of its proper divisors (29654521485296).

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

13100101220304 is a wasteful number, since it uses less digits than its factorization.

13100101220304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265227222 (or 265227199 counting only the distinct ones).

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

Adding to 13100101220304 its reverse (40302210100131), we get a palindrome (53402311320435).

The spelling of 13100101220304 in words is "thirteen trillion, one hundred billion, one hundred one million, two hundred twenty thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 343 392 441 504 588 686 784 882 1008 1029 1176 1372 1764 2058 2352 2744 3087 3528 4116 5488 6174 7056 8232 12348 16464 24696 49392 265227187 530454374 795681561 1060908748 1591363122 1856590309 2121817496 2387044683 3182726244 3713180618 4243634992 4774089366 5569770927 6365452488 7426361236 9548178732 11139541854 12730904976 12996132163 14852722472 16709312781 19096357464 22279083708 25992264326 29705444944 33418625562 38192714928 38988396489 44558167416 51984528652 66837251124 77976792978 89116334832 90972925141 103969057304 116965189467 133674502248 155953585956 181945850282 207938114608 233930378934 267349004496 272918775423 311907171912 363891700564 467860757868 545837550846 623814343824 727783401128 818756326269 935721515736 1091675101692 1455566802256 1637512652538 1871443031472 2183350203384 3275025305076 4366700406768 6550050610152 13100101220304