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103100310200 = 23526719140283
BaseRepresentation
bin110000000000101000…
…0011110001010111000
3100212010020102102022102
41200001100132022320
53142122134411300
6115210313242532
710306631114516
oct1400120361270
9325106372272
10103100310200
113a7a748a038
1217b94103448
139950c15a14
144dc0ad94b6
152a364e50d5
hex180141e2b8

103100310200 has 96 divisors (see below), whose sum is σ = 244565775360. Its totient is φ = 40410902400.

The previous prime is 103100310169. The next prime is 103100310217. The reversal of 103100310200 is 2013001301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2539259 + ... + 2579541.

It is an arithmetic number, because the mean of its divisors is an integer number (2547560160).

Almost surely, 2103100310200 is an apocalyptic number.

103100310200 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 103100310200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122282887680).

103100310200 is an abundant number, since it is smaller than the sum of its proper divisors (141465465160).

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

103100310200 is a wasteful number, since it uses less digits than its factorization.

103100310200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40557 (or 40548 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 103100310200 its reverse (2013001301), we get a palindrome (105113311501).

The spelling of 103100310200 in words is "one hundred three billion, one hundred million, three hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 67 100 134 191 200 268 335 382 536 670 764 955 1340 1528 1675 1910 2680 3350 3820 4775 6700 7640 9550 12797 13400 19100 25594 38200 40283 51188 63985 80566 102376 127970 161132 201415 255940 319925 322264 402830 511880 639850 805660 1007075 1279700 1611320 2014150 2559400 2698961 4028300 5397922 7694053 8056600 10795844 13494805 15388106 21591688 26989610 30776212 38470265 53979220 61552424 67474025 76940530 107958440 134948050 153881060 192351325 269896100 307762120 384702650 515501551 539792200 769405300 1031003102 1538810600 2062006204 2577507755 4124012408 5155015510 10310031020 12887538775 20620062040 25775077550 51550155100 103100310200