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12200102440 = 235305002561
BaseRepresentation
bin10110101110010111…
…01100101000101000
31011111020122102021221
423113023230220220
5144441211234230
65334334311424
7611221105531
oct132713545050
934436572257
1012200102440
1151a0704599
122445958574
1311c5756636
1483a429688
154b60ea27a
hex2d72eca28

12200102440 has 16 divisors (see below), whose sum is σ = 27450230580. Its totient is φ = 4880040960.

The previous prime is 12200102429. The next prime is 12200102441. The reversal of 12200102440 is 4420100221.

12200102440 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 2 ways, for example, as 11166994276 + 1033108164 = 105674^2 + 32142^2 .

It is not an unprimeable number, because it can be changed into a prime (12200102441) 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 3 ways as a sum of consecutive naturals, for example, 152501241 + ... + 152501320.

Almost surely, 212200102440 is an apocalyptic number.

12200102440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12200102440 is an abundant number, since it is smaller than the sum of its proper divisors (15250128140).

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

12200102440 is a wasteful number, since it uses less digits than its factorization.

12200102440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305002572 (or 305002568 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 12200102440 its reverse (4420100221), we get a palindrome (16620202661).

The spelling of 12200102440 in words is "twelve billion, two hundred million, one hundred two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 305002561 610005122 1220010244 1525012805 2440020488 3050025610 6100051220 12200102440