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103140112410 = 23251168998041
BaseRepresentation
bin110000000001110100…
…0010011100000011010
3100212020000022120200100
41200003220103200122
53142212332044120
6115214254320230
710310623330116
oct1400350234032
9325200276610
10103140112410
113a8179a5025
1217ba54b9076
13995924051a
144dc60da746
152a39c58490
hex1803a1381a

103140112410 has 48 divisors (see below), whose sum is σ = 268189969320. Its totient is φ = 27501396480.

The previous prime is 103140112409. The next prime is 103140112417. The reversal of 103140112410 is 14211041301.

103140112410 is a `hidden beast` number, since 1 + 0 + 3 + 140 + 112 + 410 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 103023666729 + 116445681 = 320973^2 + 10791^2 .

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

It is not an unprimeable number, because it can be changed into a prime (103140112417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1002990 + ... + 1101030.

Almost surely, 2103140112410 is an apocalyptic number.

103140112410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103140112410 is an abundant number, since it is smaller than the sum of its proper divisors (165049856910).

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

103140112410 is a wasteful number, since it uses less digits than its factorization.

103140112410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109743 (or 109740 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 103140112410 its reverse (14211041301), we get a palindrome (117351153711).

The spelling of 103140112410 in words is "one hundred three billion, one hundred forty million, one hundred twelve thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 11689 23378 35067 58445 70134 98041 105201 116890 175335 196082 210402 294123 350670 490205 526005 588246 882369 980410 1052010 1470615 1764738 2941230 4411845 8823690 1146001249 2292002498 3438003747 5730006245 6876007494 10314011241 11460012490 17190018735 20628022482 34380037470 51570056205 103140112410