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230203233333 = 3337857326879
BaseRepresentation
bin1101011001100100101…
…1101001010000110101
3211000012020222220121000
43112121023221100311
512232424011431313
6253430502113513
722426436124603
oct3263113512065
9730166886530
10230203233333
11896a07a6467
123874671b899
1318928831188
14b1db510873
155ec4d45673
hex35992e9435

230203233333 has 32 divisors (see below), whose sum is σ = 350313062400. Its totient is φ = 149298043968.

The previous prime is 230203233329. The next prime is 230203233347. The reversal of 230203233333 is 333332302032.

230203233333 is a `hidden beast` number, since 2 + 3 + 0 + 2 + 0 + 323 + 3 + 333 = 666.

230203233333 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 230203233333 - 22 = 230203233329 is a prime.

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 = 230203233297 and 230203233306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230203233133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8550988 + ... + 8577866.

It is an arithmetic number, because the mean of its divisors is an integer number (10947283200).

Almost surely, 2230203233333 is an apocalyptic number.

It is an amenable number.

230203233333 is a deficient number, since it is larger than the sum of its proper divisors (120109829067).

230203233333 is a wasteful number, since it uses less digits than its factorization.

230203233333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35498 (or 35492 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 27.

Adding to 230203233333 its reverse (333332302032), we get a palindrome (563535535365).

The spelling of 230203233333 in words is "two hundred thirty billion, two hundred three million, two hundred thirty-three thousand, three hundred thirty-three".

Divisors: 1 3 9 27 37 111 333 999 8573 25719 26879 77157 80637 231471 241911 317201 725733 951603 994523 2854809 2983569 8564427 8950707 26852121 230433667 691301001 2073903003 6221709009 8526045679 25578137037 76734411111 230203233333