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107318612380 = 225719347116269
BaseRepresentation
bin110001111110010110…
…0000001000110011100
3101021000012220101001111
41203330230001012130
53224242031044010
6121145042151404
710516312103560
oct1437454010634
9337005811044
10107318612380
1141571616991
1218970952564
13a173b2c105
1452a10376a0
152bd19dc58a
hex18fcb0119c

107318612380 has 96 divisors (see below), whose sum is σ = 271904371200. Its totient is φ = 34757620992.

The previous prime is 107318612377. The next prime is 107318612381. The reversal of 107318612380 is 83216813701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107318612381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 864886 + ... + 981154.

It is an arithmetic number, because the mean of its divisors is an integer number (2832337200).

Almost surely, 2107318612380 is an apocalyptic number.

107318612380 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 107318612380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135952185600).

107318612380 is an abundant number, since it is smaller than the sum of its proper divisors (164585758820).

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

107318612380 is a wasteful number, since it uses less digits than its factorization.

107318612380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116651 (or 116649 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The spelling of 107318612380 in words is "one hundred seven billion, three hundred eighteen million, six hundred twelve thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 347 380 532 665 694 1330 1388 1735 2429 2660 3470 4858 6593 6940 9716 12145 13186 24290 26372 32965 46151 48580 65930 92302 116269 131860 184604 230755 232538 461510 465076 581345 813883 923020 1162690 1627766 2209111 2325380 3255532 4069415 4418222 8138830 8836444 11045555 15463777 16277660 22091110 30927554 40345343 44182220 61855108 77318885 80690686 154637770 161381372 201726715 282417401 309275540 403453430 564834802 766561517 806906860 1129669604 1412087005 1533123034 2824174010 3066246068 3832807585 5365930619 5648348020 7665615170 10731861238 15331230340 21463722476 26829653095 53659306190 107318612380