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103443313031310 = 23574124674870013
BaseRepresentation
bin10111100001010011000101…
…111011010111100010001110
3111120021002021100021010210110
4113201103011323113202032
5102024303401114000220
61004001111343020450
730534350505036510
oct2741230573274216
9446232240233713
10103443313031310
112aa6207649879a
12b72801029a726
13459487c85c295
141b7897c487bb0
15be5be81bcbe0
hex5e14c5ed788e

103443313031310 has 128 divisors (see below), whose sum is σ = 290768354601984. Its totient is φ = 23058143216640.

The previous prime is 103443313031297. The next prime is 103443313031341. The reversal of 103443313031310 is 13130313344301.

It is a super-2 number, since 2×1034433130313102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 18805864 + ... + 23675876.

It is an arithmetic number, because the mean of its divisors is an integer number (2271627770328).

Almost surely, 2103443313031310 is an apocalyptic number.

103443313031310 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 103443313031310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145384177300992).

103443313031310 is an abundant number, since it is smaller than the sum of its proper divisors (187325041570674).

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

103443313031310 is a wasteful number, since it uses less digits than its factorization.

103443313031310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4872538.

The product of its (nonzero) digits is 11664, while the sum is 30.

Adding to 103443313031310 its reverse (13130313344301), we get a palindrome (116573626375611).

The spelling of 103443313031310 in words is "one hundred three trillion, four hundred forty-three billion, three hundred thirteen million, thirty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 41 42 70 82 105 123 205 210 246 287 410 574 615 861 1230 1435 1722 2467 2870 4305 4934 7401 8610 12335 14802 17269 24670 34538 37005 51807 74010 86345 101147 103614 172690 202294 259035 303441 505735 518070 606882 708029 1011470 1416058 1517205 2124087 3034410 3540145 4248174 4870013 7080290 9740026 10620435 14610039 21240870 24350065 29220078 34090091 48700130 68180182 73050195 102270273 146100390 170450455 199670533 204540546 340900910 399341066 511351365 599011599 998352665 1022702730 1198023198 1397693731 1996705330 2795387462 2995057995 4193081193 5990115990 6988468655 8386162386 12014322071 13976937310 20965405965 24028644142 36042966213 41930811930 60071610355 72085932426 84100254497 120143220710 168200508994 180214831065 252300763491 360429662130 420501272485 492587204911 504601526982 841002544970 985174409822 1261503817455 1477761614733 2462936024555 2523007634910 2955523229466 3448110434377 4925872049110 6896220868754 7388808073665 10344331303131 14777616147330 17240552171885 20688662606262 34481104343770 51721656515655 103443313031310