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233131401 = 32132119609
BaseRepresentation
bin11011110010101…
…00110110001001
3121020200022011100
431321110312021
5434140201101
635044452013
75530404246
oct1571246611
9536608140
10233131401
1110a662088
12660aa009
13393b7699
1422d685cd
1515700e86
hexde54d89

233131401 has 12 divisors (see below), whose sum is σ = 337017460. Its totient is φ = 155295360.

The previous prime is 233131357. The next prime is 233131403. The reversal of 233131401 is 104131332.

233131401 is a `hidden beast` number, since 233 + 1 + 31 + 401 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 227255625 + 5875776 = 15075^2 + 2424^2 .

It is not a de Polignac number, because 233131401 - 217 = 233000329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (233131403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2085 + ... + 21693.

Almost surely, 2233131401 is an apocalyptic number.

It is an amenable number.

233131401 is a deficient number, since it is larger than the sum of its proper divisors (103886059).

233131401 is a wasteful number, since it uses less digits than its factorization.

233131401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20936 (or 20933 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 233131401 is about 15268.6410986702. The cubic root of 233131401 is about 615.4606027950.

Adding to 233131401 its reverse (104131332), we get a palindrome (337262733).

The spelling of 233131401 in words is "two hundred thirty-three million, one hundred thirty-one thousand, four hundred one".

Divisors: 1 3 9 1321 3963 11889 19609 58827 176481 25903489 77710467 233131401