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233053129 is a prime number
BaseRepresentation
bin11011110010000…
…01101111001001
3121020112022210101
431321001233021
5434130200004
635043045401
75526630121
oct1571015711
9536468711
10233053129
1110a6092a1
1266070861
133938ab7a
1422d47c81
15156d7ba4
hexde41bc9

233053129 has 2 divisors, whose sum is σ = 233053130. Its totient is φ = 233053128.

The previous prime is 233053057. The next prime is 233053201. The reversal of 233053129 is 921350332.

It is a balanced prime because it is at equal distance from previous prime (233053057) and next prime (233053201).

It can be written as a sum of positive squares in only one way, i.e., 172213129 + 60840000 = 13123^2 + 7800^2 .

It is a cyclic number.

It is not a de Polignac number, because 233053129 - 219 = 232528841 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 233053097 and 233053106.

It is not a weakly prime, because it can be changed into another prime (233053229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 116526564 + 116526565.

It is an arithmetic number, because the mean of its divisors is an integer number (116526565).

Almost surely, 2233053129 is an apocalyptic number.

It is an amenable number.

233053129 is a deficient number, since it is larger than the sum of its proper divisors (1).

233053129 is an equidigital number, since it uses as much as digits as its factorization.

233053129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4860, while the sum is 28.

The square root of 233053129 is about 15266.0777215367. The cubic root of 233053129 is about 615.3917164297.

The spelling of 233053129 in words is "two hundred thirty-three million, fifty-three thousand, one hundred twenty-nine".