Search a number
-
+
107318107320 = 233518126318787
BaseRepresentation
bin110001111110010101…
…0000101110010111000
3101021000011221201020120
41203330222011302320
53224241413413240
6121145023253240
710516304601234
oct1437452056270
9337004851216
10107318107320
1141571301486
121897074a220
13a1739b3268
1452a0d455c4
152bd193cad0
hex18fca85cb8

107318107320 has 128 divisors (see below), whose sum is σ = 324981296640. Its totient is φ = 28350328320.

The previous prime is 107318107279. The next prime is 107318107327. The reversal of 107318107320 is 23701813701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107318107327) 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, 5702967 + ... + 5721753.

It is an arithmetic number, because the mean of its divisors is an integer number (2538916380).

Almost surely, 2107318107320 is an apocalyptic number.

107318107320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107318107320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162490648320).

107318107320 is an abundant number, since it is smaller than the sum of its proper divisors (217663189320).

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

107318107320 is a wasteful number, since it uses less digits than its factorization.

107318107320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19245 (or 19241 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The spelling of 107318107320 in words is "one hundred seven billion, three hundred eighteen million, one hundred seven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 181 263 362 526 543 724 789 905 1052 1086 1315 1448 1578 1810 2104 2172 2630 2715 3156 3620 3945 4344 5260 5430 6312 7240 7890 10520 10860 15780 18787 21720 31560 37574 47603 56361 75148 93935 95206 112722 142809 150296 187870 190412 225444 238015 281805 285618 375740 380824 450888 476030 563610 571236 714045 751480 952060 1127220 1142472 1428090 1904120 2254440 2856180 3400447 4940981 5712360 6800894 9881962 10201341 13601788 14822943 17002235 19763924 20402682 24704905 27203576 29645886 34004470 39527848 40805364 49409810 51006705 59291772 68008940 74114715 81610728 98819620 102013410 118583544 136017880 148229430 197639240 204026820 296458860 408053640 592917720 894317561 1788635122 2682952683 3577270244 4471587805 5365905366 7154540488 8943175610 10731810732 13414763415 17886351220 21463621464 26829526830 35772702440 53659053660 107318107320