Search a number
-
+
103206275118 = 23347159725463
BaseRepresentation
bin110000000011110010…
…0101100100000101110
3100212101121210222212000
41200013210230200232
53142331301300433
6115225020353130
710312355602242
oct1400744544056
9325347728760
10103206275118
113a851285051
12180036a57a6
139969b6755b
144dd0c00422
152a40977113
hex180792c82e

103206275118 has 64 divisors (see below), whose sum is σ = 234382878720. Its totient is φ = 33647727456.

The previous prime is 103206275093. The next prime is 103206275147. The reversal of 103206275118 is 811572602301.

103206275118 is a `hidden beast` number, since 1 + 0 + 3 + 20 + 627 + 5 + 1 + 1 + 8 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4040455 + ... + 4065917.

It is an arithmetic number, because the mean of its divisors is an integer number (3662232480).

Almost surely, 2103206275118 is an apocalyptic number.

103206275118 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103206275118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117191439360).

103206275118 is an abundant number, since it is smaller than the sum of its proper divisors (131176603602).

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

103206275118 is a wasteful number, since it uses less digits than its factorization.

103206275118 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27118 (or 27112 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Adding to 103206275118 its reverse (811572602301), we get a palindrome (914778877419).

The spelling of 103206275118 in words is "one hundred three billion, two hundred six million, two hundred seventy-five thousand, one hundred eighteen".

Divisors: 1 2 3 6 9 18 27 47 54 94 141 282 423 846 1269 1597 2538 3194 4791 9582 14373 25463 28746 43119 50926 75059 76389 86238 150118 152778 225177 229167 450354 458334 675531 687501 1196761 1351062 1375002 2026593 2393522 3590283 4053186 7180566 10770849 21541698 32312547 40664411 64625094 81328822 121993233 243986466 365979699 731959398 1097939097 1911227317 2195878194 3822454634 5733681951 11467363902 17201045853 34402091706 51603137559 103206275118