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106224031200 = 2535276322859
BaseRepresentation
bin110001011101101110…
…0100001010111100000
3101011011221020212221210
41202323130201113200
53220021322444300
6120444301350120
710450221240030
oct1427334412740
9334157225853
10106224031200
114105a772941
1218706268340
13a02b127a41
1451d99098c0
152b6a877050
hex18bb7215e0

106224031200 has 144 divisors (see below), whose sum is σ = 395153458560. Its totient is φ = 24279774720.

The previous prime is 106224031187. The next prime is 106224031211. The reversal of 106224031200 is 2130422601.

It is a super-2 number, since 2×1062240312002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3144630 + ... + 3178229.

It is an arithmetic number, because the mean of its divisors is an integer number (2744121240).

Almost surely, 2106224031200 is an apocalyptic number.

106224031200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106224031200 is an abundant number, since it is smaller than the sum of its proper divisors (288929427360).

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

106224031200 is a wasteful number, since it uses less digits than its factorization.

106224031200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6322889 (or 6322876 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 106224031200 its reverse (2130422601), we get a palindrome (108354453801).

The spelling of 106224031200 in words is "one hundred six billion, two hundred twenty-four million, thirty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 70 75 80 84 96 100 105 112 120 140 150 160 168 175 200 210 224 240 280 300 336 350 400 420 480 525 560 600 672 700 800 840 1050 1120 1200 1400 1680 2100 2400 2800 3360 4200 5600 8400 16800 6322859 12645718 18968577 25291436 31614295 37937154 44260013 50582872 63228590 75874308 88520026 94842885 101165744 126457180 132780039 151748616 158071475 177040052 189685770 202331488 221300065 252914360 265560078 303497232 316142950 354080104 379371540 442600130 474214425 505828720 531120156 606994464 632285900 663900195 708160208 758743080 885200260 948428850 1011657440 1062240312 1106500325 1264571800 1327800390 1416320416 1517486160 1770400520 1896857700 2124480624 2213000650 2529143600 2655600780 3034972320 3319500975 3540801040 3793715400 4248961248 4426001300 5058287200 5311201560 6639001950 7081602080 7587430800 8852002600 10622403120 13278003900 15174861600 17704005200 21244806240 26556007800 35408010400 53112015600 106224031200