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103310321301200 = 245213171168668793
BaseRepresentation
bin10111011111010111001111…
…000000001011011011010000
3111112210100222220212020222202
4113133113033000023123100
5102020114014223114300
61003420034552422332
730521632033012106
oct2737271700133320
9445710886766882
10103310321301200
112aa10730097542
12b7062956a79a8
134585176c0a460
141b72363929c76
15be251289aad5
hex5df5cf00b6d0

103310321301200 has 120 divisors (see below), whose sum is σ = 283018859180568. Its totient is φ = 35901505290240.

The previous prime is 103310321301197. The next prime is 103310321301301. The reversal of 103310321301200 is 2103123013301.

It can be written as a sum of positive squares in 12 ways, for example, as 68349968899216 + 34960352401984 = 8267404^2 + 5912728^2 .

It is a super-2 number, since 2×1033103213012002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 584245997 + ... + 584422796.

Almost surely, 2103310321301200 is an apocalyptic number.

103310321301200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103310321301200 is an abundant number, since it is smaller than the sum of its proper divisors (179708537879368).

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

103310321301200 is a wasteful number, since it uses less digits than its factorization.

103310321301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168668841 (or 1168668830 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 103310321301200 its reverse (2103123013301), we get a palindrome (105413444314501).

The spelling of 103310321301200 in words is "one hundred three trillion, three hundred ten billion, three hundred twenty-one million, three hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 17 20 25 26 34 40 50 52 65 68 80 85 100 104 130 136 170 200 208 221 260 272 325 340 400 425 442 520 650 680 850 884 1040 1105 1300 1360 1700 1768 2210 2600 3400 3536 4420 5200 5525 6800 8840 11050 17680 22100 44200 88400 1168668793 2337337586 4674675172 5843343965 9349350344 11686687930 15192694309 18698700688 19867369481 23373375860 29216719825 30385388618 39734738962 46746751720 58433439650 60770777236 75963471545 79469477924 93493503440 99336847405 116866879300 121541554472 151926943090 158938955848 198673694810 233733758600 243083108944 258275803253 303853886180 317877911696 379817357725 397347389620 467467517200 496684237025 516551606506 607707772360 759634715450 794694779240 993368474050 1033103213012 1215415544720 1291379016265 1519269430900 1589389558480 1986736948100 2066206426024 2582758032530 3038538861800 3973473896200 4132412852048 5165516065060 6077077723600 6456895081325 7946947792400 10331032130120 12913790162650 20662064260240 25827580325300 51655160650600 103310321301200