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103431323300 = 22523189374887
BaseRepresentation
bin110000001010011111…
…1001011111010100100
3100212222022021121220212
41200110333023322210
53143311404321200
6115303220114552
710321060512344
oct1402477137244
9325868247825
10103431323300
113a957316088
1218066b35a58
1399a4681966
145012a62d24
152a555cd035
hex1814fcbea4

103431323300 has 72 divisors (see below), whose sum is σ = 234290004480. Its totient is φ = 39587961600.

The previous prime is 103431323293. The next prime is 103431323377. The reversal of 103431323300 is 3323134301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88457 + ... + 463343.

It is an arithmetic number, because the mean of its divisors is an integer number (3254027840).

Almost surely, 2103431323300 is an apocalyptic number.

103431323300 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 103431323300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117145002240).

103431323300 is an abundant number, since it is smaller than the sum of its proper divisors (130858681180).

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

103431323300 is a wasteful number, since it uses less digits than its factorization.

103431323300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375021 (or 375014 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 103431323300 its reverse (3323134301), we get a palindrome (106754457601).

The spelling of 103431323300 in words is "one hundred three billion, four hundred thirty-one million, three hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 89 100 124 155 178 310 356 445 620 775 890 1550 1780 2225 2759 3100 4450 5518 8900 11036 13795 27590 55180 68975 137950 275900 374887 749774 1499548 1874435 3748870 7497740 9372175 11621497 18744350 23242994 33364943 37488700 46485988 58107485 66729886 116214970 133459772 166824715 232429940 290537425 333649430 581074850 667298860 834123575 1034313233 1162149700 1668247150 2068626466 3336494300 4137252932 5171566165 10343132330 20686264660 25857830825 51715661650 103431323300