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230133332331 = 34721719892017
BaseRepresentation
bin1101011001010100000…
…0111111100101101011
3211000000101110120110000
43112111000333211223
512232303113113311
6253415523554043
722424630022600
oct3262500774553
9730011416400
10230133332331
11896652a2841
123872722b923
13189171c8736
14b1d21166a7
155ebdb39056
hex359503f96b

230133332331 has 240 divisors, whose sum is σ = 450947930400. Its totient is φ = 115880067072.

The previous prime is 230133332287. The next prime is 230133332417. The reversal of 230133332331 is 133233331032.

230133332331 is a `hidden beast` number, since 2 + 3 + 0 + 1 + 333 + 323 + 3 + 1 = 666.

It is not a de Polignac number, because 230133332331 - 233 = 221543397739 is a prime.

It is a super-2 number, since 2×2301333323312 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 230133332295 and 230133332304.

It is not an unprimeable number, because it can be changed into a prime (230133332131) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 114095835 + ... + 114097851.

It is an arithmetic number, because the mean of its divisors is an integer number (1878949710).

Almost surely, 2230133332331 is an apocalyptic number.

230133332331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

230133332331 is a deficient number, since it is larger than the sum of its proper divisors (220814598069).

230133332331 is a wasteful number, since it uses less digits than its factorization.

230133332331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2168 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 230133332331 its reverse (133233331032), we get a palindrome (363366663363).

The spelling of 230133332331 in words is "two hundred thirty billion, one hundred thirty-three million, three hundred thirty-two thousand, three hundred thirty-one".