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103112404200 = 233252134406513
BaseRepresentation
bin110000000000111111…
…0100110110011101000
3100212011002011212011100
41200001332212303220
53142133233413300
6115211424401400
710310135655141
oct1400176466350
9325132155140
10103112404200
113a80329a483
1217b98176260
13995358b730
144dc2566ac8
152a375d3700
hex1801fa6ce8

103112404200 has 144 divisors (see below), whose sum is σ = 372923279820. Its totient is φ = 25381509120.

The previous prime is 103112404183. The next prime is 103112404211. The reversal of 103112404200 is 2404211301.

103112404200 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 1 + 240 + 420 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 38261707236 + 64850696964 = 195606^2 + 254658^2 .

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

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 35 ways as a sum of consecutive naturals, for example, 2179857 + ... + 2226656.

Almost surely, 2103112404200 is an apocalyptic number.

103112404200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103112404200 is an abundant number, since it is smaller than the sum of its proper divisors (269810875620).

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

103112404200 is a wasteful number, since it uses less digits than its factorization.

103112404200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4406548 (or 4406536 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 103112404200 its reverse (2404211301), we get a palindrome (105516615501).

The spelling of 103112404200 in words is "one hundred three billion, one hundred twelve million, four hundred four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 25 26 30 36 39 40 45 50 52 60 65 72 75 78 90 100 104 117 120 130 150 156 180 195 200 225 234 260 300 312 325 360 390 450 468 520 585 600 650 780 900 936 975 1170 1300 1560 1800 1950 2340 2600 2925 3900 4680 5850 7800 11700 23400 4406513 8813026 13219539 17626052 22032565 26439078 35252104 39658617 44065130 52878156 57284669 66097695 79317234 88130260 105756312 110162825 114569338 132195390 158634468 171854007 176260520 198293085 220325650 229138676 264390780 286423345 317268936 330488475 343708014 396586170 440651300 458277352 515562021 528781560 572846690 660976950 687416028 793172340 859270035 881302600 991465425 1031124042 1145693380 1321953900 1374832056 1432116725 1586344680 1718540070 1982930850 2062248084 2291386760 2577810105 2643907800 2864233450 3437080140 3965861700 4124496168 4296350175 5155620210 5728466900 6874160280 7931723400 8592700350 10311240420 11456933800 12889050525 17185400700 20622480840 25778101050 34370801400 51556202100 103112404200