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12243412303300 = 22521093112016581
BaseRepresentation
bin1011001000101010010000…
…1111011011110111000100
31121100110101110021021221001
42302022210033123313010
53101044002022201200
642012313532303044
72402362112316313
oct262124417336704
947313343237831
1012243412303300
1139a0447073012
121458a32011a84
136aa719a04199
1430482751c27a
1516372c71476a
hexb22a43dbdc4

12243412303300 has 36 divisors (see below), whose sum is σ = 26592512533636. Its totient is φ = 4892884214400.

The previous prime is 12243412303277. The next prime is 12243412303303. The reversal of 12243412303300 is 330321434221.

It is a happy number.

12243412303300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 15186618756 + 12228225684544 = 123234^2 + 3496888^2 .

It is a super-2 number, since 2×122434123033002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12243412303303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55898991 + ... + 56117590.

Almost surely, 212243412303300 is an apocalyptic number.

12243412303300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12243412303300 is an abundant number, since it is smaller than the sum of its proper divisors (14349100230336).

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

12243412303300 is a wasteful number, since it uses less digits than its factorization.

12243412303300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112017688 (or 112017681 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 12243412303300 its reverse (330321434221), we get a palindrome (12573733737521).

The spelling of 12243412303300 in words is "twelve trillion, two hundred forty-three billion, four hundred twelve million, three hundred three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1093 2186 4372 5465 10930 21860 27325 54650 109300 112016581 224033162 448066324 560082905 1120165810 2240331620 2800414525 5600829050 11201658100 122434123033 244868246066 489736492132 612170615165 1224341230330 2448682460660 3060853075825 6121706151650 12243412303300