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103424333100 = 2235211171843571
BaseRepresentation
bin110000001010010010…
…0100001010100101100
3100212221211010111011120
41200110210201110230
53143303112124400
6115302410220540
710320644216634
oct1402444412454
9325854114146
10103424333100
113a953381260
1218064724750
1399a30a504a
145011b636c4
152a54b9bca0
hex181492152c

103424333100 has 144 divisors (see below), whose sum is σ = 345647627136. Its totient is φ = 23597696000.

The previous prime is 103424333041. The next prime is 103424333113. The reversal of 103424333100 is 1333424301.

It is a super-2 number, since 2×1034243331002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 865686 + ... + 977885.

It is an arithmetic number, because the mean of its divisors is an integer number (2400330744).

Almost surely, 2103424333100 is an apocalyptic number.

103424333100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103424333100 is an abundant number, since it is smaller than the sum of its proper divisors (242223294036).

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

103424333100 is a wasteful number, since it uses less digits than its factorization.

103424333100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1843616 (or 1843609 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 103424333100 its reverse (1333424301), we get a palindrome (104757757401).

The spelling of 103424333100 in words is "one hundred three billion, four hundred twenty-four million, three hundred thirty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 25 30 33 34 44 50 51 55 60 66 68 75 85 100 102 110 132 150 165 170 187 204 220 255 275 300 330 340 374 425 510 550 561 660 748 825 850 935 1020 1100 1122 1275 1650 1700 1870 2244 2550 2805 3300 3740 4675 5100 5610 9350 11220 14025 18700 28050 56100 1843571 3687142 5530713 7374284 9217855 11061426 18435710 20279281 22122852 27653565 31340707 36871420 40558562 46089275 55307130 60837843 62681414 81117124 92178550 94022121 101396405 110614260 121675686 125362828 138267825 156703535 184357100 188044242 202792810 243351372 276535650 304189215 313407070 344747777 376088484 405585620 470110605 506982025 553071300 608378430 626814140 689495554 783517675 940221210 1013964050 1034243331 1216756860 1378991108 1520946075 1567035350 1723738885 1880442420 2027928100 2068486662 2350553025 3041892150 3134070700 3447477770 4136973324 4701106050 5171216655 6083784300 6894955540 8618694425 9402212100 10342433310 17237388850 20684866620 25856083275 34474777700 51712166550 103424333100