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10303242404100 = 223521671889108869
BaseRepresentation
bin1001010111101110100100…
…0110101000000100000100
31100110222110200022110211020
42111323221012220010010
52322302020023412400
633525124430111140
72112245644300062
oct225735106500404
940428420273736
1010303242404100
113312642806528
1211a4a0704b4b0
1359978c951829
14278972b37032
1512d0270c92a0
hex95ee91a8104

10303242404100 has 144 divisors (see below), whose sum is σ = 30005373283200. Its totient is φ = 2729608171520.

The previous prime is 10303242404093. The next prime is 10303242404141. The reversal of 10303242404100 is 140424230301.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94584466 + ... + 94693334.

It is an arithmetic number, because the mean of its divisors is an integer number (208370647800).

Almost surely, 210303242404100 is an apocalyptic number.

10303242404100 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 10303242404100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15002686641600).

10303242404100 is an abundant number, since it is smaller than the sum of its proper divisors (19702130879100).

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

10303242404100 is a wasteful number, since it uses less digits than its factorization.

10303242404100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110942 (or 110935 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10303242404100 its reverse (140424230301), we get a palindrome (10443666634401).

The spelling of 10303242404100 in words is "ten trillion, three hundred three billion, two hundred forty-two million, four hundred four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 167 300 334 501 668 835 1002 1670 1889 2004 2505 3340 3778 4175 5010 5667 7556 8350 9445 10020 11334 12525 16700 18890 22668 25050 28335 37780 47225 50100 56670 94450 108869 113340 141675 188900 217738 283350 315463 326607 435476 544345 566700 630926 653214 946389 1088690 1261852 1306428 1577315 1633035 1892778 2177380 2721725 3154630 3266070 3785556 4731945 5443450 6309260 6532140 7886575 8165175 9463890 10886900 15773150 16330350 18181123 18927780 23659725 31546300 32660700 36362246 47319450 54543369 72724492 90905615 94638900 109086738 181811230 205653541 218173476 272716845 363622460 411307082 454528075 545433690 616960623 822614164 909056150 1028267705 1090867380 1233921246 1363584225 1818112300 2056535410 2467842492 2727168450 3084803115 4113070820 5141338525 5454336900 6169606230 10282677050 12339212460 15424015575 20565354100 30848031150 34344141347 61696062300 68688282694 103032424041 137376565388 171720706735 206064848082 343441413470 412129696164 515162120205 686882826940 858603533675 1030324240410 1717207067350 2060648480820 2575810601025 3434414134700 5151621202050 10303242404100