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103024320450 = 235211324112521
BaseRepresentation
bin101111111110010111…
…0100101111111000010
3100211220221102201222020
41133330232211333002
53141443211223300
6115155000422310
710305016163202
oct1377456457702
9324827381866
10103024320450
113a7685a7897
1217b72777996
13993b25aa7c
144db4998402
152a2e9d48a0
hex17fcba5fc2

103024320450 has 96 divisors (see below), whose sum is σ = 257970578112. Its totient is φ = 27207936000.

The previous prime is 103024320439. The next prime is 103024320481. The reversal of 103024320450 is 54023420301.

It is a super-2 number, since 2×1030243204502 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103024320450.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40865190 + ... + 40867710.

It is an arithmetic number, because the mean of its divisors is an integer number (2687193522).

Almost surely, 2103024320450 is an apocalyptic number.

103024320450 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 103024320450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128985289056).

103024320450 is an abundant number, since it is smaller than the sum of its proper divisors (154946257662).

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

103024320450 is a wasteful number, since it uses less digits than its factorization.

103024320450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5060 (or 5055 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 103024320450 its reverse (54023420301), we get a palindrome (157047740751).

The spelling of 103024320450 in words is "one hundred three billion, twenty-four million, three hundred twenty thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 113 150 226 339 565 678 1130 1695 2411 2521 2825 3390 4822 5042 5650 7233 7563 8475 12055 12605 14466 15126 16950 24110 25210 36165 37815 60275 63025 72330 75630 120550 126050 180825 189075 272443 284873 361650 378150 544886 569746 817329 854619 1362215 1424365 1634658 1709238 2724430 2848730 4086645 4273095 6078131 6811075 7121825 8173290 8546190 12156262 13622150 14243650 18234393 20433225 21365475 30390655 36468786 40866450 42730950 60781310 91171965 151953275 182343930 303906550 455859825 686828803 911719650 1373657606 2060486409 3434144015 4120972818 6868288030 10302432045 17170720075 20604864090 34341440150 51512160225 103024320450