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12270145409 = 2319122912197
BaseRepresentation
bin10110110110101101…
…11000111110000001
31011200010102222011222
423123112320332001
5200112124123114
65345315444425
7613031341454
oct133326707601
934603388158
1012270145409
1152271a4945
1224652b6715
13120710b892
1484585d49b
154bc33398e
hex2db5b8f81

12270145409 has 16 divisors (see below), whose sum is σ = 12927928320. Its totient is φ = 11623275840.

The previous prime is 12270145373. The next prime is 12270145411. The reversal of 12270145409 is 90454107221.

It is a cyclic number.

It is not a de Polignac number, because 12270145409 - 212 = 12270141313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12270145429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 999899 + ... + 1012095.

It is an arithmetic number, because the mean of its divisors is an integer number (807995520).

Almost surely, 212270145409 is an apocalyptic number.

It is an amenable number.

12270145409 is a deficient number, since it is larger than the sum of its proper divisors (657782911).

12270145409 is a wasteful number, since it uses less digits than its factorization.

12270145409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12640.

The product of its (nonzero) digits is 20160, while the sum is 35.

The spelling of 12270145409 in words is "twelve billion, two hundred seventy million, one hundred forty-five thousand, four hundred nine".

Divisors: 1 23 191 229 4393 5267 12197 43739 280531 1005997 2329627 2793113 53581421 64241599 533484583 12270145409