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123255030400 = 275299138867
BaseRepresentation
bin111001011001010010…
…0101000001010000000
3102210010212002021202221
41302302210220022000
54004411241433100
6132342251020424
711622242320645
oct1626244501200
9383125067687
10123255030400
11482aa284697
121ba79a3a714
13b813682b68
145d73777dcc
153315b2401a
hex1cb2928280

123255030400 has 96 divisors (see below), whose sum is σ = 304793527680. Its totient is φ = 49250995200.

The previous prime is 123255030389. The next prime is 123255030401. The reversal of 123255030400 is 4030552321.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (123255030401) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3151767 + ... + 3190633.

It is an arithmetic number, because the mean of its divisors is an integer number (3174932580).

Almost surely, 2123255030400 is an apocalyptic number.

123255030400 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 123255030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152396763840).

123255030400 is an abundant number, since it is smaller than the sum of its proper divisors (181538497280).

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

123255030400 is an equidigital number, since it uses as much as digits as its factorization.

123255030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39882 (or 39865 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

Adding to 123255030400 its reverse (4030552321), we get a palindrome (127285582721).

The spelling of 123255030400 in words is "one hundred twenty-three billion, two hundred fifty-five million, thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 991 1600 1982 3200 3964 4955 7928 9910 15856 19820 24775 31712 38867 39640 49550 63424 77734 79280 99100 126848 155468 158560 194335 198200 310936 317120 388670 396400 621872 634240 777340 792800 971675 1243744 1554680 1585600 1943350 2487488 3109360 3171200 3886700 4974976 6218720 7773400 12437440 15546800 24874880 31093600 38517197 62187200 77034394 124374400 154068788 192585985 308137576 385171970 616275152 770343940 962929925 1232550304 1540687880 1925859850 2465100608 3081375760 3851719700 4930201216 6162751520 7703439400 12325503040 15406878800 24651006080 30813757600 61627515200 123255030400