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107003015730 = 232513194813451
BaseRepresentation
bin110001110100111100…
…0000111001000110010
3101020012020001101211200
41203221320013020302
53223120233000410
6121053445552030
710505430424662
oct1435170071062
9336166041750
10107003015730
114141a45a506
12188a3115616
13a123630230
1452711641a2
152bb3e4c3c0
hex18e9e07232

107003015730 has 96 divisors (see below), whose sum is σ = 315377375040. Its totient is φ = 24952924800.

The previous prime is 107003015659. The next prime is 107003015741. The reversal of 107003015730 is 37510300701.

It is a super-2 number, since 2×1070030157302 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 107003015694 and 107003015703.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2384496 + ... + 2428955.

It is an arithmetic number, because the mean of its divisors is an integer number (3285180990).

Almost surely, 2107003015730 is an apocalyptic number.

107003015730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

107003015730 is an abundant number, since it is smaller than the sum of its proper divisors (208374359310).

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

107003015730 is a wasteful number, since it uses less digits than its factorization.

107003015730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4813496 (or 4813493 counting only the distinct ones).

The product of its (nonzero) digits is 2205, while the sum is 27.

The spelling of 107003015730 in words is "one hundred seven billion, three million, fifteen thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 19 26 30 38 39 45 57 65 78 90 95 114 117 130 171 190 195 234 247 285 342 390 494 570 585 741 855 1170 1235 1482 1710 2223 2470 3705 4446 7410 11115 22230 4813451 9626902 14440353 24067255 28880706 43321059 48134510 62574863 72201765 86642118 91455569 125149726 144403530 182911138 187724589 216605295 274366707 312874315 375449178 433210590 457277845 548733414 563173767 625748630 823100121 914555690 938622945 1126347534 1188922397 1371833535 1646200242 1877245890 2377844794 2743667070 2815868835 3566767191 4115500605 5631737670 5944611985 7133534382 8231001210 10700301573 11889223970 17833835955 21400603146 35667671910 53501507865 107003015730