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103415021200 = 24524735315583
BaseRepresentation
bin110000001010000000…
…0111111111010010000
3100212221011121101122101
41200110000333322100
53143243221134300
6115301434450144
710320502114351
oct1402400777220
9325834541571
10103415021200
113a9490a1077
1218061593954
1399a119474a
14501081bd28
152a53e5cb6a
hex181403fe90

103415021200 has 120 divisors (see below), whose sum is σ = 254475998208. Its totient is φ = 40368599040.

The previous prime is 103415021161. The next prime is 103415021219. The reversal of 103415021200 is 2120514301.

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, 6628609 + ... + 6644191.

Almost surely, 2103415021200 is an apocalyptic number.

103415021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103415021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127237999104).

103415021200 is an abundant number, since it is smaller than the sum of its proper divisors (151060977008).

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

103415021200 is a wasteful number, since it uses less digits than its factorization.

103415021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16001 (or 15990 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 103415021200 its reverse (2120514301), we get a palindrome (105535535501).

The spelling of 103415021200 in words is "one hundred three billion, four hundred fifteen million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 47 50 80 94 100 188 200 235 353 376 400 470 706 752 940 1175 1412 1765 1880 2350 2824 3530 3760 4700 5648 7060 8825 9400 14120 15583 16591 17650 18800 28240 31166 33182 35300 62332 66364 70600 77915 82955 124664 132728 141200 155830 165910 249328 265456 311660 331820 389575 414775 623320 663640 732401 779150 829550 1246640 1327280 1464802 1558300 1659100 2929604 3116600 3318200 3662005 5500799 5859208 6233200 6636400 7324010 11001598 11718416 14648020 18310025 22003196 27503995 29296040 36620050 44006392 55007990 58592080 73240100 88012784 110015980 137519975 146480200 220031960 258537553 275039950 292960400 440063920 517075106 550079900 1034150212 1100159800 1292687765 2068300424 2200319600 2585375530 4136600848 5170751060 6463438825 10341502120 12926877650 20683004240 25853755300 51707510600 103415021200