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335993121 = 32193193433
BaseRepresentation
bin10100000001101…
…101100100100001
3212102020012220200
4110001231210201
51142003234441
653201255413
711216615532
oct2401554441
9772205820
10335993121
11162728672
1294634569
13547c08c9
14328a2689
151e76d7b6
hex1406d921

335993121 has 12 divisors (see below), whose sum is σ = 487840548. Its totient is φ = 222833664.

The previous prime is 335993089. The next prime is 335993149. The reversal of 335993121 is 121399533.

335993121 is a `hidden beast` number, since 33 + 599 + 31 + 2 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31979025 + 304014096 = 5655^2 + 17436^2 .

It is not a de Polignac number, because 335993121 - 25 = 335993089 is a prime.

It is a super-2 number, since 2×3359931212 = 225782754718641282, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (335993171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94980 + ... + 98453.

It is an arithmetic number, because the mean of its divisors is an integer number (40653379).

Almost surely, 2335993121 is an apocalyptic number.

It is an amenable number.

335993121 is a deficient number, since it is larger than the sum of its proper divisors (151847427).

335993121 is a wasteful number, since it uses less digits than its factorization.

335993121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193632 (or 193629 counting only the distinct ones).

The product of its digits is 21870, while the sum is 36.

The square root of 335993121 is about 18330.1151387546. The cubic root of 335993121 is about 695.2005845824.

The spelling of 335993121 in words is "three hundred thirty-five million, nine hundred ninety-three thousand, one hundred twenty-one".

Divisors: 1 3 9 193 579 1737 193433 580299 1740897 37332569 111997707 335993121