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12410132200 = 2352293211777
BaseRepresentation
bin10111000111011001…
…11001011011101000
31012000212212000221221
423203230321123220
5200403443212300
65411240111424
7616351245304
oct134354713350
935025760857
1012410132200
115299218004
1224a4165574
13122a112bbb
1485a29cd04
154c978631a
hex2e3b396e8

12410132200 has 48 divisors (see below), whose sum is σ = 28952170380. Its totient is φ = 4947087360.

The previous prime is 12410132177. The next prime is 12410132201. The reversal of 12410132200 is 223101421.

It can be written as a sum of positive squares in 6 ways, for example, as 9291803236 + 3118328964 = 96394^2 + 55842^2 .

It is a super-2 number, since 2×124101322002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12410132201) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 47289 + ... + 164488.

Almost surely, 212410132200 is an apocalyptic number.

12410132200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12410132200 is an abundant number, since it is smaller than the sum of its proper divisors (16542038180).

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

12410132200 is a wasteful number, since it uses less digits than its factorization.

12410132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212086 (or 212077 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12410132200 its reverse (223101421), we get a palindrome (12633233621).

The spelling of 12410132200 in words is "twelve billion, four hundred ten million, one hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 293 586 1172 1465 2344 2930 5860 7325 11720 14650 29300 58600 211777 423554 847108 1058885 1694216 2117770 4235540 5294425 8471080 10588850 21177700 42355400 62050661 124101322 248202644 310253305 496405288 620506610 1241013220 1551266525 2482026440 3102533050 6205066100 12410132200