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309416121 = 32719733541
BaseRepresentation
bin10010011100010…
…101000010111001
3210120012222010100
4102130111002321
51113202303441
650411510013
710444664550
oct2234250271
9716188110
10309416121
11149725a03
1287758309
134c146981
142d144d97
151c26dcb6
hex127150b9

309416121 has 48 divisors (see below), whose sum is σ = 545184640. Its totient is φ = 165162240.

The previous prime is 309416057. The next prime is 309416123. The reversal of 309416121 is 121614903.

309416121 is a `hidden beast` number, since 3 + 0 + 9 + 41 + 612 + 1 = 666.

It is not a de Polignac number, because 309416121 - 26 = 309416057 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (309416123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85611 + ... + 89151.

Almost surely, 2309416121 is an apocalyptic number.

It is an amenable number.

309416121 is a deficient number, since it is larger than the sum of its proper divisors (235768519).

309416121 is a wasteful number, since it uses less digits than its factorization.

309416121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3646 (or 3643 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 309416121 is about 17590.2279973854. The cubic root of 309416121 is about 676.3647712423.

The spelling of 309416121 in words is "three hundred nine million, four hundred sixteen thousand, one hundred twenty-one".

Divisors: 1 3 7 9 19 21 57 63 73 133 171 219 399 511 657 1197 1387 1533 3541 4161 4599 9709 10623 12483 24787 29127 31869 67279 74361 87381 201837 223083 258493 470953 605511 775479 1412859 1809451 2326437 4238577 4911367 5428353 14734101 16285059 34379569 44202303 103138707 309416121