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103433241100 = 225271720694201
BaseRepresentation
bin110000001010100011…
…0100000001000001100
3100212222102220001122111
41200111012200020030
53143312402203400
6115303325153404
710321113020530
oct1402506401014
9325872801574
10103433241100
113a958405a42
12180676bb864
1399a4ba3857
145013001bc0
152a5585b3ba
hex18151a020c

103433241100 has 144 divisors (see below), whose sum is σ = 271799478720. Its totient is φ = 33352704000.

The previous prime is 103433241089. The next prime is 103433241103. The reversal of 103433241100 is 1142334301.

It is a super-3 number, since 3×1034332411003 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (103433241103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24619000 + ... + 24623200.

It is an arithmetic number, because the mean of its divisors is an integer number (1887496380).

Almost surely, 2103433241100 is an apocalyptic number.

103433241100 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 103433241100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135899739360).

103433241100 is an abundant number, since it is smaller than the sum of its proper divisors (168366237620).

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

103433241100 is a wasteful number, since it uses less digits than its factorization.

103433241100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6308 (or 6301 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 103433241100 its reverse (1142334301), we get a palindrome (104575575401).

The spelling of 103433241100 in words is "one hundred three billion, four hundred thirty-three million, two hundred forty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 50 68 70 85 100 119 140 170 175 238 340 350 425 476 595 700 850 1190 1700 2069 2380 2975 4138 4201 5950 8276 8402 10345 11900 14483 16804 20690 21005 28966 29407 35173 41380 42010 51725 57932 58814 70346 71417 72415 84020 103450 105025 117628 140692 142834 144830 147035 175865 206900 210050 246211 285668 289660 294070 351730 357085 362075 420100 492422 499919 588140 703460 714170 724150 735175 879325 984844 999838 1231055 1428340 1448300 1470350 1758650 1785425 1999676 2462110 2499595 2940700 3517300 3570850 4924220 4999190 6155275 7141700 8691869 9998380 12310550 12497975 17383738 24621100 24995950 34767476 43459345 49991900 60843083 86918690 121686166 147761773 173837380 217296725 243372332 295523546 304215415 434593450 591047092 608430830 738808865 869186900 1034332411 1216861660 1477617730 1521077075 2068664822 2955235460 3042154150 3694044325 4137329644 5171662055 6084308300 7388088650 10343324110 14776177300 20686648220 25858310275 51716620550 103433241100