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103011330221310 = 23573315212844461
BaseRepresentation
bin10111011011000000110001…
…101111101110010011111110
3111111201210020201101200110010
4113123000301233232103332
5102000214201014040220
61003030430220124050
730461215535531460
oct2733006157562376
9444653221350403
10103011330221310
112a905950456915
12b678352096626
134562c0811cbc4
141b61abc7b8130
15bd9863a811e0
hex5db031bee4fe

103011330221310 has 128 divisors (see below), whose sum is σ = 283943026050048. Its totient is φ = 23429248128000.

The previous prime is 103011330221279. The next prime is 103011330221341. The reversal of 103011330221310 is 13122033110301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (103011330221279) and next prime (103011330221341).

It is a super-2 number, since 2×1030113302213102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34792480 + ... + 37636940.

It is an arithmetic number, because the mean of its divisors is an integer number (2218304891016).

Almost surely, 2103011330221310 is an apocalyptic number.

103011330221310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103011330221310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141971513025024).

103011330221310 is an abundant number, since it is smaller than the sum of its proper divisors (180931695828738).

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

103011330221310 is a wasteful number, since it uses less digits than its factorization.

103011330221310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2845330.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 103011330221310 its reverse (13122033110301), we get a palindrome (116133363331611).

The spelling of 103011330221310 in words is "one hundred three trillion, eleven billion, three hundred thirty million, two hundred twenty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 331 521 662 993 1042 1563 1655 1986 2317 2605 3126 3310 3647 4634 4965 5210 6951 7294 7815 9930 10941 11585 13902 15630 18235 21882 23170 34755 36470 54705 69510 109410 172451 344902 517353 862255 1034706 1207157 1724510 2414314 2586765 2844461 3621471 5173530 5688922 6035785 7242942 8533383 12071570 14222305 17066766 18107355 19911227 28444610 36214710 39822454 42666915 59733681 85333830 99556135 119467362 199112270 298668405 597336810 941516591 1481964181 1883033182 2824549773 2963928362 4445892543 4707582955 5649099546 6590616137 7409820905 8891785086 9415165910 10373749267 13181232274 14122748865 14819641810 19771848411 20747498534 22229462715 28245497730 31121247801 32953080685 39543696822 44458925430 51868746335 62242495602 65906161370 98859242055 103737492670 155606239005 197718484110 311212478010 490530143911 981060287822 1471590431733 2452650719555 2943180863466 3433711007377 4905301439110 6867422014754 7357952158665 10301133022131 14715904317330 17168555036885 20602266044262 34337110073770 51505665110655 103011330221310