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12210829785 = 3457111731743
BaseRepresentation
bin10110101111101001…
…00111100111011001
31011111222211102110000
423113310213213121
5200001433023120
65335400243213
7611411224560
oct132764474731
934458742400
1012210829785
1151a6771170
122449470509
1311c7a4128b
1483ba1cbd7
154b7018990
hex2d7d279d9

12210829785 has 320 divisors, whose sum is σ = 29867802624. Its totient is φ = 4615833600.

The previous prime is 12210829739. The next prime is 12210829811. The reversal of 12210829785 is 58792801221.

It is not a de Polignac number, because 12210829785 - 26 = 12210829721 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 12210829785.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 16434124 + ... + 16434866.

Almost surely, 212210829785 is an apocalyptic number.

12210829785 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12210829785 is an abundant number, since it is smaller than the sum of its proper divisors (17656972839).

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

12210829785 is a wasteful number, since it uses less digits than its factorization.

12210829785 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 12210829785 in words is "twelve billion, two hundred ten million, eight hundred twenty-nine thousand, seven hundred eighty-five".