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12432440200 = 235273851537
BaseRepresentation
bin10111001010000011…
…11111101110001000
31012002102211101210011
423211001333232020
5200430201041300
65413354201304
7620041666225
oct134501775610
935072741704
1012432440200
1152aa874374
1224ab723234
1312319239bb
1485d22894c
154cb6e0eba
hex2e507fb88

12432440200 has 48 divisors (see below), whose sum is σ = 29301422580. Its totient is φ = 4904847360.

The previous prime is 12432440197. The next prime is 12432440233. The reversal of 12432440200 is 204423421.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1017227236 + 11415212964 = 31894^2 + 106842^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 411169 + ... + 440368.

Almost surely, 212432440200 is an apocalyptic number.

12432440200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12432440200 is an abundant number, since it is smaller than the sum of its proper divisors (16868982380).

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

12432440200 is a wasteful number, since it uses less digits than its factorization.

12432440200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851626 (or 851617 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 12432440200 its reverse (204423421), we get a palindrome (12636863621).

The spelling of 12432440200 in words is "twelve billion, four hundred thirty-two million, four hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 146 200 292 365 584 730 1460 1825 2920 3650 7300 14600 851537 1703074 3406148 4257685 6812296 8515370 17030740 21288425 34061480 42576850 62162201 85153700 124324402 170307400 248648804 310811005 497297608 621622010 1243244020 1554055025 2486488040 3108110050 6216220100 12432440200