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103011303200 = 25521374313331
BaseRepresentation
bin101111111101111110…
…0111011111100100000
3100211220000221101122212
41133323330323330200
53141431343200300
6115153413421252
710304500426061
oct1377374737440
9324800841585
10103011303200
113a761216833
1217b6a33a828
139938650a60
144db2d6a568
152a2d7b2935
hex17fbf3bf20

103011303200 has 144 divisors (see below), whose sum is σ = 271205516736. Its totient is φ = 37980902400.

The previous prime is 103011303163. The next prime is 103011303247. The reversal of 103011303200 is 2303110301.

It is a super-2 number, since 2×1030113032002 (a number of 23 digits) contains 22 as substring.

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, 7720535 + ... + 7733865.

It is an arithmetic number, because the mean of its divisors is an integer number (1883371644).

Almost surely, 2103011303200 is an apocalyptic number.

103011303200 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 103011303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135602758368).

103011303200 is an abundant number, since it is smaller than the sum of its proper divisors (168194213536).

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

103011303200 is a wasteful number, since it uses less digits than its factorization.

103011303200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14107 (or 14094 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 103011303200 its reverse (2303110301), we get a palindrome (105314413501).

The spelling of 103011303200 in words is "one hundred three billion, eleven million, three hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 130 160 200 208 260 325 400 416 520 650 743 800 1040 1300 1486 2080 2600 2972 3715 5200 5944 7430 9659 10400 11888 13331 14860 18575 19318 23776 26662 29720 37150 38636 48295 53324 59440 66655 74300 77272 96590 106648 118880 133310 148600 154544 173303 193180 213296 241475 266620 297200 309088 333275 346606 386360 426592 482950 533240 594400 666550 693212 772720 866515 965900 1066480 1333100 1386424 1545440 1733030 1931800 2132960 2666200 2772848 3466060 3863600 4332575 5332400 5545696 6932120 7727200 8665150 9904933 10664800 13864240 17330300 19809866 27728480 34660600 39619732 49524665 69321200 79239464 99049330 128764129 138642400 158478928 198098660 247623325 257528258 316957856 396197320 495246650 515056516 643820645 792394640 990493300 1030113032 1287641290 1584789280 1980986600 2060226064 2575282580 3219103225 3961973200 4120452128 5150565160 6438206450 7923946400 10301130320 12876412900 20602260640 25752825800 51505651600 103011303200