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12255503130 = 232513361981
BaseRepresentation
bin10110110100111110…
…00010001100011010
31011122002220001202100
423122133002030122
5200044402100010
65344033544230
7612463025553
oct133237021432
934562801670
1012255503130
115219a03992
122460415076
131204083000
1484392b32a
154bade02c0
hex2da7c231a

12255503130 has 96 divisors (see below), whose sum is σ = 34519015440. Its totient is φ = 3016690560.

The previous prime is 12255503123. The next prime is 12255503137. The reversal of 12255503130 is 3130555221.

It is a happy number.

12255503130 is a `hidden beast` number, since 1 + 2 + 25 + 5 + 503 + 130 = 666.

12255503130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12255503123) and next prime (12255503137).

It can be written as a sum of positive squares in 8 ways, for example, as 583077609 + 11672425521 = 24147^2 + 108039^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12255503094 and 12255503103.

It is not an unprimeable number, because it can be changed into a prime (12255503137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 166740 + ... + 228720.

Almost surely, 212255503130 is an apocalyptic number.

12255503130 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 12255503130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17259507720).

12255503130 is an abundant number, since it is smaller than the sum of its proper divisors (22263512310).

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

12255503130 is a wasteful number, since it uses less digits than its factorization.

12255503130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62033 (or 62004 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The spelling of 12255503130 in words is "twelve billion, two hundred fifty-five million, five hundred three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 169 195 234 338 390 507 585 845 1014 1170 1521 1690 2197 2535 3042 4394 5070 6591 7605 10985 13182 15210 19773 21970 32955 39546 61981 65910 98865 123962 185943 197730 309905 371886 557829 619810 805753 929715 1115658 1611506 1859430 2417259 2789145 4028765 4834518 5578290 7251777 8057530 10474789 12086295 14503554 20949578 24172590 31424367 36258885 52373945 62848734 72517770 94273101 104747890 136172257 157121835 188546202 272344514 314243670 408516771 471365505 680861285 817033542 942731010 1225550313 1361722570 2042583855 2451100626 4085167710 6127751565 12255503130