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12203404993 = 132677106661
BaseRepresentation
bin10110101110110000…
…10010111011000001
31011111110212012112201
423113120102323001
5144443032424433
65334533153201
7611261142133
oct132730227301
934443765481
1012203404993
1151a255a87a
122446a8b801
1311c6341900
1483aa49053
154b654da7d
hex2d7612ec1

12203404993 has 12 divisors (see below), whose sum is σ = 13233980988. Its totient is φ = 11247936960.

The previous prime is 12203404979. The next prime is 12203405023. The reversal of 12203404993 is 39940430221.

12203404993 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 238764304 + 11964640689 = 15452^2 + 109383^2 .

It is not a de Polignac number, because 12203404993 - 213 = 12203396801 is a prime.

It is a super-3 number, since 3×122034049933 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12203404973) 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 11 ways as a sum of consecutive naturals, for example, 61083 + ... + 167743.

It is an arithmetic number, because the mean of its divisors is an integer number (1102831749).

Almost surely, 212203404993 is an apocalyptic number.

12203404993 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12203404993 is a deficient number, since it is larger than the sum of its proper divisors (1030575995).

12203404993 is a wasteful number, since it uses less digits than its factorization.

12203404993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107364 (or 107351 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The spelling of 12203404993 in words is "twelve billion, two hundred three million, four hundred four thousand, nine hundred ninety-three".

Divisors: 1 13 169 677 8801 106661 114413 1386593 18025709 72209497 938723461 12203404993