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103031111200 = 25521717942323
BaseRepresentation
bin101111111110100100…
…0011111111000100000
3100211221102012202010111
41133331020133320200
53142001431024300
6115155402141104
710305130665253
oct1377510377040
9324842182114
10103031111200
113a771415886
1217b74ab1794
13993c797974
144db584509a
152a303c69ba
hex17fd21fe20

103031111200 has 144 divisors (see below), whose sum is σ = 267814421280. Its totient is φ = 38570577920.

The previous prime is 103031111191. The next prime is 103031111201. The reversal of 103031111200 is 2111130301.

It is not an unprimeable number, because it can be changed into a prime (103031111201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2413239 + ... + 2455561.

It is an arithmetic number, because the mean of its divisors is an integer number (1859822370).

Almost surely, 2103031111200 is an apocalyptic number.

103031111200 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 103031111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133907210640).

103031111200 is an abundant number, since it is smaller than the sum of its proper divisors (164783310080).

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

103031111200 is a wasteful number, since it uses less digits than its factorization.

103031111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42539 (or 42526 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 103031111200 its reverse (2111130301), we get a palindrome (105142241501).

The spelling of 103031111200 in words is "one hundred three billion, thirty-one million, one hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 136 160 170 179 200 272 340 358 400 425 544 680 716 800 850 895 1360 1432 1700 1790 2720 2864 3043 3400 3580 4475 5728 6086 6800 7160 8950 12172 13600 14320 15215 17900 24344 28640 30430 35800 42323 48688 60860 71600 76075 84646 97376 121720 143200 152150 169292 211615 243440 304300 338584 423230 486880 608600 677168 719491 846460 1058075 1217200 1354336 1438982 1692920 2116150 2434400 2877964 3385840 3597455 4232300 5755928 6771680 7194910 7575817 8464600 11511856 14389820 15151634 16929200 17987275 23023712 28779640 30303268 33858400 35974550 37879085 57559280 60606536 71949100 75758170 115118560 121213072 128788889 143898200 151516340 189395425 242426144 257577778 287796400 303032680 378790850 515155556 575592800 606065360 643944445 757581700 1030311112 1212130720 1287888890 1515163400 2060622224 2575777780 3030326800 3219722225 4121244448 5151555560 6060653600 6439444450 10303111120 12878888900 20606222240 25757777800 51515555600 103031111200