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103110004200 = 23352723507143
BaseRepresentation
bin110000000000111010…
…1011100110111101000
3100212010220122220222110
41200001311130313220
53142132130113300
6115211301122320
710310106401100
oct1400165346750
9325126586873
10103110004200
113a801a00305
1217b973b93a0
139952c2b208
144dc2100200
152a372ac550
hex1801d5cde8

103110004200 has 144 divisors (see below), whose sum is σ = 371827406880. Its totient is φ = 23567994240.

The previous prime is 103110004189. The next prime is 103110004201. The reversal of 103110004200 is 2400011301.

It is a happy number.

It is a super-2 number, since 2×1031100042002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (103110004201) 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 35 ways as a sum of consecutive naturals, for example, 1724172 + ... + 1782971.

It is an arithmetic number, because the mean of its divisors is an integer number (2582134770).

Almost surely, 2103110004200 is an apocalyptic number.

103110004200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103110004200 is an abundant number, since it is smaller than the sum of its proper divisors (268717402680).

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

103110004200 is a wasteful number, since it uses less digits than its factorization.

103110004200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3507176 (or 3507160 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 103110004200 its reverse (2400011301), we get a palindrome (105510015501).

The spelling of 103110004200 in words is "one hundred three billion, one hundred ten million, four thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 49 50 56 60 70 75 84 98 100 105 120 140 147 150 168 175 196 200 210 245 280 294 300 350 392 420 490 525 588 600 700 735 840 980 1050 1176 1225 1400 1470 1960 2100 2450 2940 3675 4200 4900 5880 7350 9800 14700 29400 3507143 7014286 10521429 14028572 17535715 21042858 24550001 28057144 35071430 42085716 49100002 52607145 70142860 73650003 84171432 87678575 98200004 105214290 122750005 140285720 147300006 171850007 175357150 196400008 210428580 245500010 263035725 294600012 343700014 350714300 368250015 420857160 491000020 515550021 526071450 589200024 613750025 687400028 701428600 736500030 859250035 982000040 1031100042 1052142900 1227500050 1374800056 1473000060 1718500070 1841250075 2062200084 2104285800 2455000100 2577750105 2946000120 3437000140 3682500150 4124400168 4296250175 4910000200 5155500210 6874000280 7365000300 8592500350 10311000420 12888750525 14730000600 17185000700 20622000840 25777501050 34370001400 51555002100 103110004200